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Finding the Fourth Proportional to 103,376.58, 142,649.06 and 58,059.57

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Solution

The fourth proportional to 103,376.58, 142,649.06 and 58,059.57 is: 80,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,376.58 : 142,649.06 = 58,059.57 : x
  2. Step 2: Convert to fraction form
    103,376.58/142,649.06 = 58,059.57/x
  3. Step 3: Cross multiply
    103,376.58x = 142,649.06 × 58,059.57
  4. Step 4: Simplify right side
    103,376.58x = 8,282,143,084.50
  5. Step 5: Solve for x
    x = 8,282,143,084.50/103,376.58
  6. Step 6: Final answer
    x = 80,116.24

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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.