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Finding the Fourth Proportional to 130,948.16, 180,708.48 and 71,332.16

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Solution

The fourth proportional to 130,948.16, 180,708.48 and 71,332.16 is: 98,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,948.16 : 180,708.48 = 71,332.16 : x
  2. Step 2: Convert to fraction form
    130,948.16/180,708.48 = 71,332.16/x
  3. Step 3: Cross multiply
    130,948.16x = 180,708.48 × 71,332.16
  4. Step 4: Simplify right side
    130,948.16x = 12,890,326,208.72
  5. Step 5: Solve for x
    x = 12,890,326,208.72/130,948.16
  6. Step 6: Final answer
    x = 98,438.39

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Why These Related Problems?

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