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Finding the Fourth Proportional to 242,776.86, 334,842.15 and 157,921.02

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Solution

The fourth proportional to 242,776.86, 334,842.15 and 157,921.02 is: 217,807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,776.86 : 334,842.15 = 157,921.02 : x
  2. Step 2: Convert to fraction form
    242,776.86/334,842.15 = 157,921.02/x
  3. Step 3: Cross multiply
    242,776.86x = 334,842.15 × 157,921.02
  4. Step 4: Simplify right side
    242,776.86x = 52,878,613,866.99
  5. Step 5: Solve for x
    x = 52,878,613,866.99/242,776.86
  6. Step 6: Final answer
    x = 217,807.47

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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.