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Finding the Fourth Proportional to 130,675.28, 180,373 and 74,124.24

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Solution

The fourth proportional to 130,675.28, 180,373 and 74,124.24 is: 102,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,675.28 : 180,373 = 74,124.24 : x
  2. Step 2: Convert to fraction form
    130,675.28/180,373 = 74,124.24/x
  3. Step 3: Cross multiply
    130,675.28x = 180,373 × 74,124.24
  4. Step 4: Simplify right side
    130,675.28x = 13,370,011,541.52
  5. Step 5: Solve for x
    x = 13,370,011,541.52/130,675.28
  6. Step 6: Final answer
    x = 102,314.77

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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.