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Finding the Fourth Proportional to 177,402.98, 266,222 and 97,496.75

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Solution

The fourth proportional to 177,402.98, 266,222 and 97,496.75 is: 146,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,402.98 : 266,222 = 97,496.75 : x
  2. Step 2: Convert to fraction form
    177,402.98/266,222 = 97,496.75/x
  3. Step 3: Cross multiply
    177,402.98x = 266,222 × 97,496.75
  4. Step 4: Simplify right side
    177,402.98x = 25,955,779,778.50
  5. Step 5: Solve for x
    x = 25,955,779,778.50/177,402.98
  6. Step 6: Final answer
    x = 146,309.72

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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.