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Finding the Fourth Proportional to 130,772.46, 180,464.31 and 77,059.74

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Solution

The fourth proportional to 130,772.46, 180,464.31 and 77,059.74 is: 106,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,772.46 : 180,464.31 = 77,059.74 : x
  2. Step 2: Convert to fraction form
    130,772.46/180,464.31 = 77,059.74/x
  3. Step 3: Cross multiply
    130,772.46x = 180,464.31 × 77,059.74
  4. Step 4: Simplify right side
    130,772.46x = 13,906,532,807.88
  5. Step 5: Solve for x
    x = 13,906,532,807.88/130,772.46
  6. Step 6: Final answer
    x = 106,341.45

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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.