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Finding the Fourth Proportional to 154,142.52, 212,716.06 and 86,159.47

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Solution

The fourth proportional to 154,142.52, 212,716.06 and 86,159.47 is: 118,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,142.52 : 212,716.06 = 86,159.47 : x
  2. Step 2: Convert to fraction form
    154,142.52/212,716.06 = 86,159.47/x
  3. Step 3: Cross multiply
    154,142.52x = 212,716.06 × 86,159.47
  4. Step 4: Simplify right side
    154,142.52x = 18,327,502,990.09
  5. Step 5: Solve for x
    x = 18,327,502,990.09/154,142.52
  6. Step 6: Final answer
    x = 118,899.72

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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.