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Finding the Fourth Proportional to 176,075.20, 263,821.20 and 149,831.20

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Solution

The fourth proportional to 176,075.20, 263,821.20 and 149,831.20 is: 224,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,075.20 : 263,821.20 = 149,831.20 : x
  2. Step 2: Convert to fraction form
    176,075.20/263,821.20 = 149,831.20/x
  3. Step 3: Cross multiply
    176,075.20x = 263,821.20 × 149,831.20
  4. Step 4: Simplify right side
    176,075.20x = 39,528,646,981.44
  5. Step 5: Solve for x
    x = 39,528,646,981.44/176,075.20
  6. Step 6: Final answer
    x = 224,498.66

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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.