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Finding the Fourth Proportional to 103,281, 142,527.78 and 58,569

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Solution

The fourth proportional to 103,281, 142,527.78 and 58,569 is: 80,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,281 : 142,527.78 = 58,569 : x
  2. Step 2: Convert to fraction form
    103,281/142,527.78 = 58,569/x
  3. Step 3: Cross multiply
    103,281x = 142,527.78 × 58,569
  4. Step 4: Simplify right side
    103,281x = 8,347,709,546.82
  5. Step 5: Solve for x
    x = 8,347,709,546.82/103,281
  6. Step 6: Final answer
    x = 80,825.22

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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.