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Finding the Fourth Proportional to 177,706.32, 245,241.32 and 97,139.31

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Solution

The fourth proportional to 177,706.32, 245,241.32 and 97,139.31 is: 134,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,706.32 : 245,241.32 = 97,139.31 : x
  2. Step 2: Convert to fraction form
    177,706.32/245,241.32 = 97,139.31/x
  3. Step 3: Cross multiply
    177,706.32x = 245,241.32 × 97,139.31
  4. Step 4: Simplify right side
    177,706.32x = 23,822,572,122.59
  5. Step 5: Solve for x
    x = 23,822,572,122.59/177,706.32
  6. Step 6: Final answer
    x = 134,055.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.