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Finding the Fourth Proportional to 242,641.96, 364,167.42 and 102,501.16

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Solution

The fourth proportional to 242,641.96, 364,167.42 and 102,501.16 is: 153,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,641.96 : 364,167.42 = 102,501.16 : x
  2. Step 2: Convert to fraction form
    242,641.96/364,167.42 = 102,501.16/x
  3. Step 3: Cross multiply
    242,641.96x = 364,167.42 × 102,501.16
  4. Step 4: Simplify right side
    242,641.96x = 37,327,582,984.21
  5. Step 5: Solve for x
    x = 37,327,582,984.21/242,641.96
  6. Step 6: Final answer
    x = 153,838.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.