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Finding the Fourth Proportional to 159,562.14, 220,252.14 and 142,536.84

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Solution

The fourth proportional to 159,562.14, 220,252.14 and 142,536.84 is: 196,751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,562.14 : 220,252.14 = 142,536.84 : x
  2. Step 2: Convert to fraction form
    159,562.14/220,252.14 = 142,536.84/x
  3. Step 3: Cross multiply
    159,562.14x = 220,252.14 × 142,536.84
  4. Step 4: Simplify right side
    159,562.14x = 31,394,044,038.84
  5. Step 5: Solve for x
    x = 31,394,044,038.84/159,562.14
  6. Step 6: Final answer
    x = 196,751.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.