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Finding the Fourth Proportional to 177,903.54, 266,781.51 and 65,590.14

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Solution

The fourth proportional to 177,903.54, 266,781.51 and 65,590.14 is: 98,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,903.54 : 266,781.51 = 65,590.14 : x
  2. Step 2: Convert to fraction form
    177,903.54/266,781.51 = 65,590.14/x
  3. Step 3: Cross multiply
    177,903.54x = 266,781.51 × 65,590.14
  4. Step 4: Simplify right side
    177,903.54x = 17,498,236,590.31
  5. Step 5: Solve for x
    x = 17,498,236,590.31/177,903.54
  6. Step 6: Final answer
    x = 98,358.00

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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.