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Finding the Fourth Proportional to 177,679.83, 266,624.75 and 65,438.94

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Solution

The fourth proportional to 177,679.83, 266,624.75 and 65,438.94 is: 98,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,679.83 : 266,624.75 = 65,438.94 : x
  2. Step 2: Convert to fraction form
    177,679.83/266,624.75 = 65,438.94/x
  3. Step 3: Cross multiply
    177,679.83x = 266,624.75 × 65,438.94
  4. Step 4: Simplify right side
    177,679.83x = 17,447,641,017.77
  5. Step 5: Solve for x
    x = 17,447,641,017.77/177,679.83
  6. Step 6: Final answer
    x = 98,197.08

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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.