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Finding the Fourth Proportional to 185,713.20, 255,710.37 and 145,041.61

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Solution

The fourth proportional to 185,713.20, 255,710.37 and 145,041.61 is: 199,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,713.20 : 255,710.37 = 145,041.61 : x
  2. Step 2: Convert to fraction form
    185,713.20/255,710.37 = 145,041.61/x
  3. Step 3: Cross multiply
    185,713.20x = 255,710.37 × 145,041.61
  4. Step 4: Simplify right side
    185,713.20x = 37,088,643,033.29
  5. Step 5: Solve for x
    x = 37,088,643,033.29/185,713.20
  6. Step 6: Final answer
    x = 199,709.25

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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.