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Finding the Fourth Proportional to 142,338.76, 213,373.50 and 63,409.48

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Solution

The fourth proportional to 142,338.76, 213,373.50 and 63,409.48 is: 95,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,338.76 : 213,373.50 = 63,409.48 : x
  2. Step 2: Convert to fraction form
    142,338.76/213,373.50 = 63,409.48/x
  3. Step 3: Cross multiply
    142,338.76x = 213,373.50 × 63,409.48
  4. Step 4: Simplify right side
    142,338.76x = 13,529,902,680.78
  5. Step 5: Solve for x
    x = 13,529,902,680.78/142,338.76
  6. Step 6: Final answer
    x = 95,054.24

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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.