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Finding the Fourth Proportional to 157,340.78, 235,960.14 and 52,131.50

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Solution

The fourth proportional to 157,340.78, 235,960.14 and 52,131.50 is: 78,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,340.78 : 235,960.14 = 52,131.50 : x
  2. Step 2: Convert to fraction form
    157,340.78/235,960.14 = 52,131.50/x
  3. Step 3: Cross multiply
    157,340.78x = 235,960.14 × 52,131.50
  4. Step 4: Simplify right side
    157,340.78x = 12,300,956,038.41
  5. Step 5: Solve for x
    x = 12,300,956,038.41/157,340.78
  6. Step 6: Final answer
    x = 78,180.34

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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.