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Finding the Fourth Proportional to 157,098.70, 235,648.05 and 154,765.90

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Solution

The fourth proportional to 157,098.70, 235,648.05 and 154,765.90 is: 232,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,098.70 : 235,648.05 = 154,765.90 : x
  2. Step 2: Convert to fraction form
    157,098.70/235,648.05 = 154,765.90/x
  3. Step 3: Cross multiply
    157,098.70x = 235,648.05 × 154,765.90
  4. Step 4: Simplify right side
    157,098.70x = 36,470,282,541.50
  5. Step 5: Solve for x
    x = 36,470,282,541.50/157,098.70
  6. Step 6: Final answer
    x = 232,148.85

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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.