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Finding the Fourth Proportional to 177,580.60, 266,079.30 and 147,837.40

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Solution

The fourth proportional to 177,580.60, 266,079.30 and 147,837.40 is: 221,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,580.60 : 266,079.30 = 147,837.40 : x
  2. Step 2: Convert to fraction form
    177,580.60/266,079.30 = 147,837.40/x
  3. Step 3: Cross multiply
    177,580.60x = 266,079.30 × 147,837.40
  4. Step 4: Simplify right side
    177,580.60x = 39,336,471,905.82
  5. Step 5: Solve for x
    x = 39,336,471,905.82/177,580.60
  6. Step 6: Final answer
    x = 221,513.34

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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.