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Finding the Fourth Proportional to 240,380, 359,831.88 and 151,216.02

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Solution

The fourth proportional to 240,380, 359,831.88 and 151,216.02 is: 226,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,380 : 359,831.88 = 151,216.02 : x
  2. Step 2: Convert to fraction form
    240,380/359,831.88 = 151,216.02/x
  3. Step 3: Cross multiply
    240,380x = 359,831.88 × 151,216.02
  4. Step 4: Simplify right side
    240,380x = 54,412,344,762.72
  5. Step 5: Solve for x
    x = 54,412,344,762.72/240,380
  6. Step 6: Final answer
    x = 226,359.70

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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.