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Finding the Fourth Proportional to 103,000.60, 142,130.34 and 57,675.64

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Solution

The fourth proportional to 103,000.60, 142,130.34 and 57,675.64 is: 79,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,000.60 : 142,130.34 = 57,675.64 : x
  2. Step 2: Convert to fraction form
    103,000.60/142,130.34 = 57,675.64/x
  3. Step 3: Cross multiply
    103,000.60x = 142,130.34 × 57,675.64
  4. Step 4: Simplify right side
    103,000.60x = 8,197,458,322.92
  5. Step 5: Solve for x
    x = 8,197,458,322.92/103,000.60
  6. Step 6: Final answer
    x = 79,586.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.