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Finding the Fourth Proportional to 177,564.60, 266,346.90 and 130,325.40

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Solution

The fourth proportional to 177,564.60, 266,346.90 and 130,325.40 is: 195,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,564.60 : 266,346.90 = 130,325.40 : x
  2. Step 2: Convert to fraction form
    177,564.60/266,346.90 = 130,325.40/x
  3. Step 3: Cross multiply
    177,564.60x = 266,346.90 × 130,325.40
  4. Step 4: Simplify right side
    177,564.60x = 34,711,766,281.26
  5. Step 5: Solve for x
    x = 34,711,766,281.26/177,564.60
  6. Step 6: Final answer
    x = 195,488.10

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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.