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Finding the Fourth Proportional to 178,218.10, 245,947.10 and 97,645.38

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Solution

The fourth proportional to 178,218.10, 245,947.10 and 97,645.38 is: 134,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,218.10 : 245,947.10 = 97,645.38 : x
  2. Step 2: Convert to fraction form
    178,218.10/245,947.10 = 97,645.38/x
  3. Step 3: Cross multiply
    178,218.10x = 245,947.10 × 97,645.38
  4. Step 4: Simplify right side
    178,218.10x = 24,015,598,039.40
  5. Step 5: Solve for x
    x = 24,015,598,039.40/178,218.10
  6. Step 6: Final answer
    x = 134,753.98

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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.