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Finding the Fourth Proportional to 185,585.52, 256,023 and 110,106.48

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Solution

The fourth proportional to 185,585.52, 256,023 and 110,106.48 is: 151,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,585.52 : 256,023 = 110,106.48 : x
  2. Step 2: Convert to fraction form
    185,585.52/256,023 = 110,106.48/x
  3. Step 3: Cross multiply
    185,585.52x = 256,023 × 110,106.48
  4. Step 4: Simplify right side
    185,585.52x = 28,189,791,329.04
  5. Step 5: Solve for x
    x = 28,189,791,329.04/185,585.52
  6. Step 6: Final answer
    x = 151,896.50

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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.