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Finding the Fourth Proportional to 157,099.70, 235,649.55 and 154,766.90

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Solution

The fourth proportional to 157,099.70, 235,649.55 and 154,766.90 is: 232,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,099.70 : 235,649.55 = 154,766.90 : x
  2. Step 2: Convert to fraction form
    157,099.70/235,649.55 = 154,766.90/x
  3. Step 3: Cross multiply
    157,099.70x = 235,649.55 × 154,766.90
  4. Step 4: Simplify right side
    157,099.70x = 36,470,750,339.90
  5. Step 5: Solve for x
    x = 36,470,750,339.90/157,099.70
  6. Step 6: Final answer
    x = 232,150.35

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1.5x scale

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.