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Finding the Fourth Proportional to 137,210.80, 205,816.20 and 78,228.40

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Solution

The fourth proportional to 137,210.80, 205,816.20 and 78,228.40 is: 117,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,210.80 : 205,816.20 = 78,228.40 : x
  2. Step 2: Convert to fraction form
    137,210.80/205,816.20 = 78,228.40/x
  3. Step 3: Cross multiply
    137,210.80x = 205,816.20 × 78,228.40
  4. Step 4: Simplify right side
    137,210.80x = 16,100,672,020.08
  5. Step 5: Solve for x
    x = 16,100,672,020.08/137,210.80
  6. Step 6: Final answer
    x = 117,342.60

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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.