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Finding the Fourth Proportional to 177,920.48, 266,985.96 and 65,678.84

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Solution

The fourth proportional to 177,920.48, 266,985.96 and 65,678.84 is: 98,557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,920.48 : 266,985.96 = 65,678.84 : x
  2. Step 2: Convert to fraction form
    177,920.48/266,985.96 = 65,678.84/x
  3. Step 3: Cross multiply
    177,920.48x = 266,985.96 × 65,678.84
  4. Step 4: Simplify right side
    177,920.48x = 17,535,328,149.09
  5. Step 5: Solve for x
    x = 17,535,328,149.09/177,920.48
  6. Step 6: Final answer
    x = 98,557.11

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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.