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Finding the Fourth Proportional to 103,202.64, 142,392.24 and 60,752.88

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Solution

The fourth proportional to 103,202.64, 142,392.24 and 60,752.88 is: 83,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,202.64 : 142,392.24 = 60,752.88 : x
  2. Step 2: Convert to fraction form
    103,202.64/142,392.24 = 60,752.88/x
  3. Step 3: Cross multiply
    103,202.64x = 142,392.24 × 60,752.88
  4. Step 4: Simplify right side
    103,202.64x = 8,650,738,669.65
  5. Step 5: Solve for x
    x = 8,650,738,669.65/103,202.64
  6. Step 6: Final answer
    x = 83,822.84

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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.