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Finding the Fourth Proportional to 103,113, 154,695.42 and 29,241

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Solution

The fourth proportional to 103,113, 154,695.42 and 29,241 is: 43,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,113 : 154,695.42 = 29,241 : x
  2. Step 2: Convert to fraction form
    103,113/154,695.42 = 29,241/x
  3. Step 3: Cross multiply
    103,113x = 154,695.42 × 29,241
  4. Step 4: Simplify right side
    103,113x = 4,523,448,776.22
  5. Step 5: Solve for x
    x = 4,523,448,776.22/103,113
  6. Step 6: Final answer
    x = 43,868.85

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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.