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Finding the Fourth Proportional to 142,187.52, 196,216.32 and 78,526.08

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Solution

The fourth proportional to 142,187.52, 196,216.32 and 78,526.08 is: 108,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,187.52 : 196,216.32 = 78,526.08 : x
  2. Step 2: Convert to fraction form
    142,187.52/196,216.32 = 78,526.08/x
  3. Step 3: Cross multiply
    142,187.52x = 196,216.32 × 78,526.08
  4. Step 4: Simplify right side
    142,187.52x = 15,408,098,441.63
  5. Step 5: Solve for x
    x = 15,408,098,441.63/142,187.52
  6. Step 6: Final answer
    x = 108,364.63

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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.