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Finding the Fourth Proportional to 249,870.80, 374,806.20 and 83,658.80

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Solution

The fourth proportional to 249,870.80, 374,806.20 and 83,658.80 is: 125,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,870.80 : 374,806.20 = 83,658.80 : x
  2. Step 2: Convert to fraction form
    249,870.80/374,806.20 = 83,658.80/x
  3. Step 3: Cross multiply
    249,870.80x = 374,806.20 × 83,658.80
  4. Step 4: Simplify right side
    249,870.80x = 31,355,836,924.56
  5. Step 5: Solve for x
    x = 31,355,836,924.56/249,870.80
  6. Step 6: Final answer
    x = 125,488.20

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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.