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Finding the Fourth Proportional to 161,404.84, 242,008.86 and 61,458.28

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Solution

The fourth proportional to 161,404.84, 242,008.86 and 61,458.28 is: 92,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,404.84 : 242,008.86 = 61,458.28 : x
  2. Step 2: Convert to fraction form
    161,404.84/242,008.86 = 61,458.28/x
  3. Step 3: Cross multiply
    161,404.84x = 242,008.86 × 61,458.28
  4. Step 4: Simplify right side
    161,404.84x = 14,873,448,280.36
  5. Step 5: Solve for x
    x = 14,873,448,280.36/161,404.84
  6. Step 6: Final answer
    x = 92,149.95

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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.