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Finding the Fourth Proportional to 117,565.80, 176,348.70 and 99,851.10

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Solution

The fourth proportional to 117,565.80, 176,348.70 and 99,851.10 is: 149,776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,565.80 : 176,348.70 = 99,851.10 : x
  2. Step 2: Convert to fraction form
    117,565.80/176,348.70 = 99,851.10/x
  3. Step 3: Cross multiply
    117,565.80x = 176,348.70 × 99,851.10
  4. Step 4: Simplify right side
    117,565.80x = 17,608,611,678.57
  5. Step 5: Solve for x
    x = 17,608,611,678.57/117,565.80
  6. Step 6: Final answer
    x = 149,776.65

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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.