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Finding the Fourth Proportional to 117,335.80, 176,005.14 and 77,609.08

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Solution

The fourth proportional to 117,335.80, 176,005.14 and 77,609.08 is: 116,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,335.80 : 176,005.14 = 77,609.08 : x
  2. Step 2: Convert to fraction form
    117,335.80/176,005.14 = 77,609.08/x
  3. Step 3: Cross multiply
    117,335.80x = 176,005.14 × 77,609.08
  4. Step 4: Simplify right side
    117,335.80x = 13,659,596,990.67
  5. Step 5: Solve for x
    x = 13,659,596,990.67/117,335.80
  6. Step 6: Final answer
    x = 116,414.57

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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.