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Finding the Fourth Proportional to 232,557, 320,963.78 and 141,965.70

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Solution

The fourth proportional to 232,557, 320,963.78 and 141,965.70 is: 195,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,557 : 320,963.78 = 141,965.70 : x
  2. Step 2: Convert to fraction form
    232,557/320,963.78 = 141,965.70/x
  3. Step 3: Cross multiply
    232,557x = 320,963.78 × 141,965.70
  4. Step 4: Simplify right side
    232,557x = 45,565,847,702.35
  5. Step 5: Solve for x
    x = 45,565,847,702.35/232,557
  6. Step 6: Final answer
    x = 195,934.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.