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Finding the Fourth Proportional to 161,384.39, 241,909.86 and 61,517.78

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Solution

The fourth proportional to 161,384.39, 241,909.86 and 61,517.78 is: 92,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,384.39 : 241,909.86 = 61,517.78 : x
  2. Step 2: Convert to fraction form
    161,384.39/241,909.86 = 61,517.78/x
  3. Step 3: Cross multiply
    161,384.39x = 241,909.86 × 61,517.78
  4. Step 4: Simplify right side
    161,384.39x = 14,881,757,547.31
  5. Step 5: Solve for x
    x = 14,881,757,547.31/161,384.39
  6. Step 6: Final answer
    x = 92,213.12

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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.