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Finding the Fourth Proportional to 103,230, 142,459.56 and 58,518

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Solution

The fourth proportional to 103,230, 142,459.56 and 58,518 is: 80,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,230 : 142,459.56 = 58,518 : x
  2. Step 2: Convert to fraction form
    103,230/142,459.56 = 58,518/x
  3. Step 3: Cross multiply
    103,230x = 142,459.56 × 58,518
  4. Step 4: Simplify right side
    103,230x = 8,336,448,532.08
  5. Step 5: Solve for x
    x = 8,336,448,532.08/103,230
  6. Step 6: Final answer
    x = 80,756.06

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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.