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Finding the Fourth Proportional to 181,470.84, 270,983.19 and 148,256.52

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Solution

The fourth proportional to 181,470.84, 270,983.19 and 148,256.52 is: 221,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,470.84 : 270,983.19 = 148,256.52 : x
  2. Step 2: Convert to fraction form
    181,470.84/270,983.19 = 148,256.52/x
  3. Step 3: Cross multiply
    181,470.84x = 270,983.19 × 148,256.52
  4. Step 4: Simplify right side
    181,470.84x = 40,175,024,727.90
  5. Step 5: Solve for x
    x = 40,175,024,727.90/181,470.84
  6. Step 6: Final answer
    x = 221,385.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.