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Finding the Fourth Proportional to 249,014, 373,524.24 and 82,802

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Solution

The fourth proportional to 249,014, 373,524.24 and 82,802 is: 124,204.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,014 : 373,524.24 = 82,802 : x
  2. Step 2: Convert to fraction form
    249,014/373,524.24 = 82,802/x
  3. Step 3: Cross multiply
    249,014x = 373,524.24 × 82,802
  4. Step 4: Simplify right side
    249,014x = 30,928,554,120.48
  5. Step 5: Solve for x
    x = 30,928,554,120.48/249,014
  6. Step 6: Final answer
    x = 124,204.08

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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.