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Finding the Fourth Proportional to 175,230, 241,817.40 and 95,742

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Solution

The fourth proportional to 175,230, 241,817.40 and 95,742 is: 132,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,230 : 241,817.40 = 95,742 : x
  2. Step 2: Convert to fraction form
    175,230/241,817.40 = 95,742/x
  3. Step 3: Cross multiply
    175,230x = 241,817.40 × 95,742
  4. Step 4: Simplify right side
    175,230x = 23,152,081,510.80
  5. Step 5: Solve for x
    x = 23,152,081,510.80/175,230
  6. Step 6: Final answer
    x = 132,123.96

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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.