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Finding the Fourth Proportional to 177,325.60, 266,065.20 and 83,783.20

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Solution

The fourth proportional to 177,325.60, 266,065.20 and 83,783.20 is: 125,711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,325.60 : 266,065.20 = 83,783.20 : x
  2. Step 2: Convert to fraction form
    177,325.60/266,065.20 = 83,783.20/x
  3. Step 3: Cross multiply
    177,325.60x = 266,065.20 × 83,783.20
  4. Step 4: Simplify right side
    177,325.60x = 22,291,793,864.64
  5. Step 5: Solve for x
    x = 22,291,793,864.64/177,325.60
  6. Step 6: Final answer
    x = 125,711.09

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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.