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Finding the Fourth Proportional to 177,536.16, 266,001.12 and 97,641

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Solution

The fourth proportional to 177,536.16, 266,001.12 and 97,641 is: 146,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,536.16 : 266,001.12 = 97,641 : x
  2. Step 2: Convert to fraction form
    177,536.16/266,001.12 = 97,641/x
  3. Step 3: Cross multiply
    177,536.16x = 266,001.12 × 97,641
  4. Step 4: Simplify right side
    177,536.16x = 25,972,615,357.92
  5. Step 5: Solve for x
    x = 25,972,615,357.92/177,536.16
  6. Step 6: Final answer
    x = 146,294.79

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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.