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Finding the Fourth Proportional to 243,721, 336,381.06 and 137,737

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Solution

The fourth proportional to 243,721, 336,381.06 and 137,737 is: 190,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,721 : 336,381.06 = 137,737 : x
  2. Step 2: Convert to fraction form
    243,721/336,381.06 = 137,737/x
  3. Step 3: Cross multiply
    243,721x = 336,381.06 × 137,737
  4. Step 4: Simplify right side
    243,721x = 46,332,118,061.22
  5. Step 5: Solve for x
    x = 46,332,118,061.22/243,721
  6. Step 6: Final answer
    x = 190,103.10

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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.