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Finding the Fourth Proportional to 177,316.68, 265,825.35 and 82,497.93

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Solution

The fourth proportional to 177,316.68, 265,825.35 and 82,497.93 is: 123,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,316.68 : 265,825.35 = 82,497.93 : x
  2. Step 2: Convert to fraction form
    177,316.68/265,825.35 = 82,497.93/x
  3. Step 3: Cross multiply
    177,316.68x = 265,825.35 × 82,497.93
  4. Step 4: Simplify right side
    177,316.68x = 21,930,041,116.53
  5. Step 5: Solve for x
    x = 21,930,041,116.53/177,316.68
  6. Step 6: Final answer
    x = 123,677.26

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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.