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Finding the Fourth Proportional to 202,075.89, 278,748.98 and 126,493.17

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Solution

The fourth proportional to 202,075.89, 278,748.98 and 126,493.17 is: 174,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,075.89 : 278,748.98 = 126,493.17 : x
  2. Step 2: Convert to fraction form
    202,075.89/278,748.98 = 126,493.17/x
  3. Step 3: Cross multiply
    202,075.89x = 278,748.98 × 126,493.17
  4. Step 4: Simplify right side
    202,075.89x = 35,259,841,482.00
  5. Step 5: Solve for x
    x = 35,259,841,482.00/202,075.89
  6. Step 6: Final answer
    x = 174,488.12

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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.