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Finding the Fourth Proportional to 233,702.40, 349,747.20 and 140,275.20

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Solution

The fourth proportional to 233,702.40, 349,747.20 and 140,275.20 is: 209,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,702.40 : 349,747.20 = 140,275.20 : x
  2. Step 2: Convert to fraction form
    233,702.40/349,747.20 = 140,275.20/x
  3. Step 3: Cross multiply
    233,702.40x = 349,747.20 × 140,275.20
  4. Step 4: Simplify right side
    233,702.40x = 49,060,858,429.44
  5. Step 5: Solve for x
    x = 49,060,858,429.44/233,702.40
  6. Step 6: Final answer
    x = 209,928.77

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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.