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Finding the Fourth Proportional to 241,572, 361,963.38 and 146,831.16

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Solution

The fourth proportional to 241,572, 361,963.38 and 146,831.16 is: 220,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,572 : 361,963.38 = 146,831.16 : x
  2. Step 2: Convert to fraction form
    241,572/361,963.38 = 146,831.16/x
  3. Step 3: Cross multiply
    241,572x = 361,963.38 × 146,831.16
  4. Step 4: Simplify right side
    241,572x = 53,147,502,962.92
  5. Step 5: Solve for x
    x = 53,147,502,962.92/241,572
  6. Step 6: Final answer
    x = 220,006.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.