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Finding the Fourth Proportional to 130,265.92, 195,267.60 and 51,349.60

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Solution

The fourth proportional to 130,265.92, 195,267.60 and 51,349.60 is: 76,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,265.92 : 195,267.60 = 51,349.60 : x
  2. Step 2: Convert to fraction form
    130,265.92/195,267.60 = 51,349.60/x
  3. Step 3: Cross multiply
    130,265.92x = 195,267.60 × 51,349.60
  4. Step 4: Simplify right side
    130,265.92x = 10,026,913,152.96
  5. Step 5: Solve for x
    x = 10,026,913,152.96/130,265.92
  6. Step 6: Final answer
    x = 76,972.65

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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.