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Finding the Fourth Proportional to 135,477.67, 186,959.16 and 75,052.24

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Solution

The fourth proportional to 135,477.67, 186,959.16 and 75,052.24 is: 103,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,477.67 : 186,959.16 = 75,052.24 : x
  2. Step 2: Convert to fraction form
    135,477.67/186,959.16 = 75,052.24/x
  3. Step 3: Cross multiply
    135,477.67x = 186,959.16 × 75,052.24
  4. Step 4: Simplify right side
    135,477.67x = 14,031,703,746.52
  5. Step 5: Solve for x
    x = 14,031,703,746.52/135,477.67
  6. Step 6: Final answer
    x = 103,572.08

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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.