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Finding the Fourth Proportional to 242,273.43, 363,387.87 and 64,774.08

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Solution

The fourth proportional to 242,273.43, 363,387.87 and 64,774.08 is: 97,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,273.43 : 363,387.87 = 64,774.08 : x
  2. Step 2: Convert to fraction form
    242,273.43/363,387.87 = 64,774.08/x
  3. Step 3: Cross multiply
    242,273.43x = 363,387.87 × 64,774.08
  4. Step 4: Simplify right side
    242,273.43x = 23,538,114,962.41
  5. Step 5: Solve for x
    x = 23,538,114,962.41/242,273.43
  6. Step 6: Final answer
    x = 97,155.16

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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.