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Finding the Fourth Proportional to 185,712.94, 255,710.02 and 145,041.36

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Solution

The fourth proportional to 185,712.94, 255,710.02 and 145,041.36 is: 199,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,712.94 : 255,710.02 = 145,041.36 : x
  2. Step 2: Convert to fraction form
    185,712.94/255,710.02 = 145,041.36/x
  3. Step 3: Cross multiply
    185,712.94x = 255,710.02 × 145,041.36
  4. Step 4: Simplify right side
    185,712.94x = 37,088,527,787.88
  5. Step 5: Solve for x
    x = 37,088,527,787.88/185,712.94
  6. Step 6: Final answer
    x = 199,708.90

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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.