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Finding the Fourth Proportional to 214,574.14, 296,043.80 and 123,918.14

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Solution

The fourth proportional to 214,574.14, 296,043.80 and 123,918.14 is: 170,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,574.14 : 296,043.80 = 123,918.14 : x
  2. Step 2: Convert to fraction form
    214,574.14/296,043.80 = 123,918.14/x
  3. Step 3: Cross multiply
    214,574.14x = 296,043.80 × 123,918.14
  4. Step 4: Simplify right side
    214,574.14x = 36,685,197,054.53
  5. Step 5: Solve for x
    x = 36,685,197,054.53/214,574.14
  6. Step 6: Final answer
    x = 170,967.47

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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.