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Finding the Fourth Proportional to 135,134.76, 186,509.16 and 78,579

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Solution

The fourth proportional to 135,134.76, 186,509.16 and 78,579 is: 108,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,134.76 : 186,509.16 = 78,579 : x
  2. Step 2: Convert to fraction form
    135,134.76/186,509.16 = 78,579/x
  3. Step 3: Cross multiply
    135,134.76x = 186,509.16 × 78,579
  4. Step 4: Simplify right side
    135,134.76x = 14,655,703,283.64
  5. Step 5: Solve for x
    x = 14,655,703,283.64/135,134.76
  6. Step 6: Final answer
    x = 108,452.51

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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.