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Finding the Fourth Proportional to 103,455.44, 142,822.80 and 69,641.84

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Solution

The fourth proportional to 103,455.44, 142,822.80 and 69,641.84 is: 96,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,455.44 : 142,822.80 = 69,641.84 : x
  2. Step 2: Convert to fraction form
    103,455.44/142,822.80 = 69,641.84/x
  3. Step 3: Cross multiply
    103,455.44x = 142,822.80 × 69,641.84
  4. Step 4: Simplify right side
    103,455.44x = 9,946,442,585.95
  5. Step 5: Solve for x
    x = 9,946,442,585.95/103,455.44
  6. Step 6: Final answer
    x = 96,142.29

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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.