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Finding the Fourth Proportional to 83,206.80, 124,810.20 and 47,777.40

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Solution

The fourth proportional to 83,206.80, 124,810.20 and 47,777.40 is: 71,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,206.80 : 124,810.20 = 47,777.40 : x
  2. Step 2: Convert to fraction form
    83,206.80/124,810.20 = 47,777.40/x
  3. Step 3: Cross multiply
    83,206.80x = 124,810.20 × 47,777.40
  4. Step 4: Simplify right side
    83,206.80x = 5,963,106,849.48
  5. Step 5: Solve for x
    x = 5,963,106,849.48/83,206.80
  6. Step 6: Final answer
    x = 71,666.10

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1.5x scale

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.