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Finding the Fourth Proportional to 157,342.78, 235,963.14 and 52,133.50

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Solution

The fourth proportional to 157,342.78, 235,963.14 and 52,133.50 is: 78,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,342.78 : 235,963.14 = 52,133.50 : x
  2. Step 2: Convert to fraction form
    157,342.78/235,963.14 = 52,133.50/x
  3. Step 3: Cross multiply
    157,342.78x = 235,963.14 × 52,133.50
  4. Step 4: Simplify right side
    157,342.78x = 12,301,584,359.19
  5. Step 5: Solve for x
    x = 12,301,584,359.19/157,342.78
  6. Step 6: Final answer
    x = 78,183.34

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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.