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Finding the Fourth Proportional to 283,075.20, 424,612.80 and 96,086.70

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Solution

The fourth proportional to 283,075.20, 424,612.80 and 96,086.70 is: 144,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,075.20 : 424,612.80 = 96,086.70 : x
  2. Step 2: Convert to fraction form
    283,075.20/424,612.80 = 96,086.70/x
  3. Step 3: Cross multiply
    283,075.20x = 424,612.80 × 96,086.70
  4. Step 4: Simplify right side
    283,075.20x = 40,799,642,729.76
  5. Step 5: Solve for x
    x = 40,799,642,729.76/283,075.20
  6. Step 6: Final answer
    x = 144,130.05

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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.