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Finding the Fourth Proportional to 103,421.34, 142,717.67 and 63,202.42

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Solution

The fourth proportional to 103,421.34, 142,717.67 and 63,202.42 is: 87,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,421.34 : 142,717.67 = 63,202.42 : x
  2. Step 2: Convert to fraction form
    103,421.34/142,717.67 = 63,202.42/x
  3. Step 3: Cross multiply
    103,421.34x = 142,717.67 × 63,202.42
  4. Step 4: Simplify right side
    103,421.34x = 9,020,102,120.76
  5. Step 5: Solve for x
    x = 9,020,102,120.76/103,421.34
  6. Step 6: Final answer
    x = 87,217.03

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