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Finding the Fourth Proportional to 177,588.16, 266,294.16 and 65,263.84

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Solution

The fourth proportional to 177,588.16, 266,294.16 and 65,263.84 is: 97,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,588.16 : 266,294.16 = 65,263.84 : x
  2. Step 2: Convert to fraction form
    177,588.16/266,294.16 = 65,263.84/x
  3. Step 3: Cross multiply
    177,588.16x = 266,294.16 × 65,263.84
  4. Step 4: Simplify right side
    177,588.16x = 17,379,379,451.17
  5. Step 5: Solve for x
    x = 17,379,379,451.17/177,588.16
  6. Step 6: Final answer
    x = 97,863.39

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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.