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Finding the Fourth Proportional to 228,075.20, 314,738.22 and 126,098.02

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Solution

The fourth proportional to 228,075.20, 314,738.22 and 126,098.02 is: 174,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,075.20 : 314,738.22 = 126,098.02 : x
  2. Step 2: Convert to fraction form
    228,075.20/314,738.22 = 126,098.02/x
  3. Step 3: Cross multiply
    228,075.20x = 314,738.22 × 126,098.02
  4. Step 4: Simplify right side
    228,075.20x = 39,687,866,360.32
  5. Step 5: Solve for x
    x = 39,687,866,360.32/228,075.20
  6. Step 6: Final answer
    x = 174,012.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.