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Finding the Fourth Proportional to 242,565.84, 363,823.32 and 65,091.04

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Solution

The fourth proportional to 242,565.84, 363,823.32 and 65,091.04 is: 97,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,565.84 : 363,823.32 = 65,091.04 : x
  2. Step 2: Convert to fraction form
    242,565.84/363,823.32 = 65,091.04/x
  3. Step 3: Cross multiply
    242,565.84x = 363,823.32 × 65,091.04
  4. Step 4: Simplify right side
    242,565.84x = 23,681,638,275.05
  5. Step 5: Solve for x
    x = 23,681,638,275.05/242,565.84
  6. Step 6: Final answer
    x = 97,629.73

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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.