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Finding the Fourth Proportional to 214,458.96, 295,991.40 and 123,802.20

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Solution

The fourth proportional to 214,458.96, 295,991.40 and 123,802.20 is: 170,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,458.96 : 295,991.40 = 123,802.20 : x
  2. Step 2: Convert to fraction form
    214,458.96/295,991.40 = 123,802.20/x
  3. Step 3: Cross multiply
    214,458.96x = 295,991.40 × 123,802.20
  4. Step 4: Simplify right side
    214,458.96x = 36,644,386,501.08
  5. Step 5: Solve for x
    x = 36,644,386,501.08/214,458.96
  6. Step 6: Final answer
    x = 170,868.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.