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Finding the Fourth Proportional to 142,053.46, 213,024.78 and 53,258.50

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Solution

The fourth proportional to 142,053.46, 213,024.78 and 53,258.50 is: 79,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,053.46 : 213,024.78 = 53,258.50 : x
  2. Step 2: Convert to fraction form
    142,053.46/213,024.78 = 53,258.50/x
  3. Step 3: Cross multiply
    142,053.46x = 213,024.78 × 53,258.50
  4. Step 4: Simplify right side
    142,053.46x = 11,345,380,245.63
  5. Step 5: Solve for x
    x = 11,345,380,245.63/142,053.46
  6. Step 6: Final answer
    x = 79,866.98

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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.