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Finding the Fourth Proportional to 130,475.52, 195,713.28 and 36,980.64

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Solution

The fourth proportional to 130,475.52, 195,713.28 and 36,980.64 is: 55,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,475.52 : 195,713.28 = 36,980.64 : x
  2. Step 2: Convert to fraction form
    130,475.52/195,713.28 = 36,980.64/x
  3. Step 3: Cross multiply
    130,475.52x = 195,713.28 × 36,980.64
  4. Step 4: Simplify right side
    130,475.52x = 7,237,602,350.90
  5. Step 5: Solve for x
    x = 7,237,602,350.90/130,475.52
  6. Step 6: Final answer
    x = 55,470.96

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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.