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Finding the Fourth Proportional to 129,290.70, 178,442.37 and 75,565.23

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Solution

The fourth proportional to 129,290.70, 178,442.37 and 75,565.23 is: 104,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,290.70 : 178,442.37 = 75,565.23 : x
  2. Step 2: Convert to fraction form
    129,290.70/178,442.37 = 75,565.23/x
  3. Step 3: Cross multiply
    129,290.70x = 178,442.37 × 75,565.23
  4. Step 4: Simplify right side
    129,290.70x = 13,484,038,730.80
  5. Step 5: Solve for x
    x = 13,484,038,730.80/129,290.70
  6. Step 6: Final answer
    x = 104,292.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.