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Finding the Fourth Proportional to 233,691.40, 349,730.70 and 140,264.20

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Solution

The fourth proportional to 233,691.40, 349,730.70 and 140,264.20 is: 209,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,691.40 : 349,730.70 = 140,264.20 : x
  2. Step 2: Convert to fraction form
    233,691.40/349,730.70 = 140,264.20/x
  3. Step 3: Cross multiply
    233,691.40x = 349,730.70 × 140,264.20
  4. Step 4: Simplify right side
    233,691.40x = 49,054,696,850.94
  5. Step 5: Solve for x
    x = 49,054,696,850.94/233,691.40
  6. Step 6: Final answer
    x = 209,912.29

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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.