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Finding the Fourth Proportional to 157,188.78, 235,826.64 and 52,081.56

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Solution

The fourth proportional to 157,188.78, 235,826.64 and 52,081.56 is: 78,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,188.78 : 235,826.64 = 52,081.56 : x
  2. Step 2: Convert to fraction form
    157,188.78/235,826.64 = 52,081.56/x
  3. Step 3: Cross multiply
    157,188.78x = 235,826.64 × 52,081.56
  4. Step 4: Simplify right side
    157,188.78x = 12,282,219,300.76
  5. Step 5: Solve for x
    x = 12,282,219,300.76/157,188.78
  6. Step 6: Final answer
    x = 78,136.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.