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Finding the Fourth Proportional to 157,263.48, 235,932.11 and 52,082.48

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Solution

The fourth proportional to 157,263.48, 235,932.11 and 52,082.48 is: 78,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,263.48 : 235,932.11 = 52,082.48 : x
  2. Step 2: Convert to fraction form
    157,263.48/235,932.11 = 52,082.48/x
  3. Step 3: Cross multiply
    157,263.48x = 235,932.11 × 52,082.48
  4. Step 4: Simplify right side
    157,263.48x = 12,287,927,960.36
  5. Step 5: Solve for x
    x = 12,287,927,960.36/157,263.48
  6. Step 6: Final answer
    x = 78,135.93

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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.