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Finding the Fourth Proportional to 233,702.27, 322,531.89 and 138,239.72

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Solution

The fourth proportional to 233,702.27, 322,531.89 and 138,239.72 is: 190,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,702.27 : 322,531.89 = 138,239.72 : x
  2. Step 2: Convert to fraction form
    233,702.27/322,531.89 = 138,239.72/x
  3. Step 3: Cross multiply
    233,702.27x = 322,531.89 × 138,239.72
  4. Step 4: Simplify right side
    233,702.27x = 44,586,718,164.67
  5. Step 5: Solve for x
    x = 44,586,718,164.67/233,702.27
  6. Step 6: Final answer
    x = 190,784.28

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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.