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Finding the Fourth Proportional to 102,655.73, 153,934.38 and 52,710.12

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Solution

The fourth proportional to 102,655.73, 153,934.38 and 52,710.12 is: 79,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,655.73 : 153,934.38 = 52,710.12 : x
  2. Step 2: Convert to fraction form
    102,655.73/153,934.38 = 52,710.12/x
  3. Step 3: Cross multiply
    102,655.73x = 153,934.38 × 52,710.12
  4. Step 4: Simplify right side
    102,655.73x = 8,113,899,641.93
  5. Step 5: Solve for x
    x = 8,113,899,641.93/102,655.73
  6. Step 6: Final answer
    x = 79,039.91

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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.