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Finding the Fourth Proportional to 185,713.44, 255,710.71 and 145,041.86

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Solution

The fourth proportional to 185,713.44, 255,710.71 and 145,041.86 is: 199,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,713.44 : 255,710.71 = 145,041.86 : x
  2. Step 2: Convert to fraction form
    185,713.44/255,710.71 = 145,041.86/x
  3. Step 3: Cross multiply
    185,713.44x = 255,710.71 × 145,041.86
  4. Step 4: Simplify right side
    185,713.44x = 37,088,755,721.77
  5. Step 5: Solve for x
    x = 37,088,755,721.77/185,713.44
  6. Step 6: Final answer
    x = 199,709.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.