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Finding the Fourth Proportional to 181,456.84, 270,962.33 and 148,242.52

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Solution

The fourth proportional to 181,456.84, 270,962.33 and 148,242.52 is: 221,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,456.84 : 270,962.33 = 148,242.52 : x
  2. Step 2: Convert to fraction form
    181,456.84/270,962.33 = 148,242.52/x
  3. Step 3: Cross multiply
    181,456.84x = 270,962.33 × 148,242.52
  4. Step 4: Simplify right side
    181,456.84x = 40,168,138,624.27
  5. Step 5: Solve for x
    x = 40,168,138,624.27/181,456.84
  6. Step 6: Final answer
    x = 221,364.70

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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.