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Finding the Fourth Proportional to 242,041.40, 363,407.70 and 137,065.40

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Solution

The fourth proportional to 242,041.40, 363,407.70 and 137,065.40 is: 205,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,041.40 : 363,407.70 = 137,065.40 : x
  2. Step 2: Convert to fraction form
    242,041.40/363,407.70 = 137,065.40/x
  3. Step 3: Cross multiply
    242,041.40x = 363,407.70 × 137,065.40
  4. Step 4: Simplify right side
    242,041.40x = 49,810,621,763.58
  5. Step 5: Solve for x
    x = 49,810,621,763.58/242,041.40
  6. Step 6: Final answer
    x = 205,793.81

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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.