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Finding the Fourth Proportional to 157,234.80, 235,506.60 and 139,724.40

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Solution

The fourth proportional to 157,234.80, 235,506.60 and 139,724.40 is: 209,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,234.80 : 235,506.60 = 139,724.40 : x
  2. Step 2: Convert to fraction form
    157,234.80/235,506.60 = 139,724.40/x
  3. Step 3: Cross multiply
    157,234.80x = 235,506.60 × 139,724.40
  4. Step 4: Simplify right side
    157,234.80x = 32,906,018,381.04
  5. Step 5: Solve for x
    x = 32,906,018,381.04/157,234.80
  6. Step 6: Final answer
    x = 209,279.49

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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.