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Finding the Fourth Proportional to 130,951.26, 180,713.43 and 76,535.10

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Solution

The fourth proportional to 130,951.26, 180,713.43 and 76,535.10 is: 105,618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,951.26 : 180,713.43 = 76,535.10 : x
  2. Step 2: Convert to fraction form
    130,951.26/180,713.43 = 76,535.10/x
  3. Step 3: Cross multiply
    130,951.26x = 180,713.43 × 76,535.10
  4. Step 4: Simplify right side
    130,951.26x = 13,830,920,436.39
  5. Step 5: Solve for x
    x = 13,830,920,436.39/130,951.26
  6. Step 6: Final answer
    x = 105,618.84

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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.