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Finding the Fourth Proportional to 242,293.72, 363,482.10 and 82,352.74

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Solution

The fourth proportional to 242,293.72, 363,482.10 and 82,352.74 is: 123,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,293.72 : 363,482.10 = 82,352.74 : x
  2. Step 2: Convert to fraction form
    242,293.72/363,482.10 = 82,352.74/x
  3. Step 3: Cross multiply
    242,293.72x = 363,482.10 × 82,352.74
  4. Step 4: Simplify right side
    242,293.72x = 29,933,746,875.95
  5. Step 5: Solve for x
    x = 29,933,746,875.95/242,293.72
  6. Step 6: Final answer
    x = 123,543.22

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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.