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Finding the Fourth Proportional to 242,045.40, 363,079.98 and 64,554

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Solution

The fourth proportional to 242,045.40, 363,079.98 and 64,554 is: 96,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,045.40 : 363,079.98 = 64,554 : x
  2. Step 2: Convert to fraction form
    242,045.40/363,079.98 = 64,554/x
  3. Step 3: Cross multiply
    242,045.40x = 363,079.98 × 64,554
  4. Step 4: Simplify right side
    242,045.40x = 23,438,265,028.92
  5. Step 5: Solve for x
    x = 23,438,265,028.92/242,045.40
  6. Step 6: Final answer
    x = 96,834.17

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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.