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Finding the Fourth Proportional to 130,388.52, 195,374.46 and 83,602.60

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Solution

The fourth proportional to 130,388.52, 195,374.46 and 83,602.60 is: 125,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,388.52 : 195,374.46 = 83,602.60 : x
  2. Step 2: Convert to fraction form
    130,388.52/195,374.46 = 83,602.60/x
  3. Step 3: Cross multiply
    130,388.52x = 195,374.46 × 83,602.60
  4. Step 4: Simplify right side
    130,388.52x = 16,333,812,829.60
  5. Step 5: Solve for x
    x = 16,333,812,829.60/130,388.52
  6. Step 6: Final answer
    x = 125,270.33

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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.