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Finding the Fourth Proportional to 177,543.70, 266,416.49 and 65,209.46

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Solution

The fourth proportional to 177,543.70, 266,416.49 and 65,209.46 is: 97,851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,543.70 : 266,416.49 = 65,209.46 : x
  2. Step 2: Convert to fraction form
    177,543.70/266,416.49 = 65,209.46/x
  3. Step 3: Cross multiply
    177,543.70x = 266,416.49 × 65,209.46
  4. Step 4: Simplify right side
    177,543.70x = 17,372,874,278.94
  5. Step 5: Solve for x
    x = 17,372,874,278.94/177,543.70
  6. Step 6: Final answer
    x = 97,851.26

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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.