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Finding the Fourth Proportional to 177,209.70, 265,814.55 and 83,897.70

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Solution

The fourth proportional to 177,209.70, 265,814.55 and 83,897.70 is: 125,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,209.70 : 265,814.55 = 83,897.70 : x
  2. Step 2: Convert to fraction form
    177,209.70/265,814.55 = 83,897.70/x
  3. Step 3: Cross multiply
    177,209.70x = 265,814.55 × 83,897.70
  4. Step 4: Simplify right side
    177,209.70x = 22,301,229,371.54
  5. Step 5: Solve for x
    x = 22,301,229,371.54/177,209.70
  6. Step 6: Final answer
    x = 125,846.55

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1.5x scale

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.