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Finding the Fourth Proportional to 109,772.61, 164,714.19 and 43,260.47

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Solution

The fourth proportional to 109,772.61, 164,714.19 and 43,260.47 is: 64,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,772.61 : 164,714.19 = 43,260.47 : x
  2. Step 2: Convert to fraction form
    109,772.61/164,714.19 = 43,260.47/x
  3. Step 3: Cross multiply
    109,772.61x = 164,714.19 × 43,260.47
  4. Step 4: Simplify right side
    109,772.61x = 7,125,613,275.07
  5. Step 5: Solve for x
    x = 7,125,613,275.07/109,772.61
  6. Step 6: Final answer
    x = 64,912.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.