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Finding the Fourth Proportional to 157,286.53, 235,943.16 and 138,784.51

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Solution

The fourth proportional to 157,286.53, 235,943.16 and 138,784.51 is: 208,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,286.53 : 235,943.16 = 138,784.51 : x
  2. Step 2: Convert to fraction form
    157,286.53/235,943.16 = 138,784.51/x
  3. Step 3: Cross multiply
    157,286.53x = 235,943.16 × 138,784.51
  4. Step 4: Simplify right side
    157,286.53x = 32,745,255,848.45
  5. Step 5: Solve for x
    x = 32,745,255,848.45/157,286.53
  6. Step 6: Final answer
    x = 208,188.56

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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.