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Finding the Fourth Proportional to 134,532, 185,654.16 and 77,976.18

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Solution

The fourth proportional to 134,532, 185,654.16 and 77,976.18 is: 107,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,532 : 185,654.16 = 77,976.18 : x
  2. Step 2: Convert to fraction form
    134,532/185,654.16 = 77,976.18/x
  3. Step 3: Cross multiply
    134,532x = 185,654.16 × 77,976.18
  4. Step 4: Simplify right side
    134,532x = 14,476,602,197.91
  5. Step 5: Solve for x
    x = 14,476,602,197.91/134,532
  6. Step 6: Final answer
    x = 107,607.13

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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.