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Finding the Fourth Proportional to 214,341.01, 295,722.56 and 123,685.00

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Solution

The fourth proportional to 214,341.01, 295,722.56 and 123,685.00 is: 170,646.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,341.01 : 295,722.56 = 123,685.00 : x
  2. Step 2: Convert to fraction form
    214,341.01/295,722.56 = 123,685.00/x
  3. Step 3: Cross multiply
    214,341.01x = 295,722.56 × 123,685.00
  4. Step 4: Simplify right side
    214,341.01x = 36,576,444,403.51
  5. Step 5: Solve for x
    x = 36,576,444,403.51/214,341.01
  6. Step 6: Final answer
    x = 170,646.04

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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.