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Finding the Fourth Proportional to 242,571.30, 363,856.95 and 137,595.30

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Solution

The fourth proportional to 242,571.30, 363,856.95 and 137,595.30 is: 206,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,571.30 : 363,856.95 = 137,595.30 : x
  2. Step 2: Convert to fraction form
    242,571.30/363,856.95 = 137,595.30/x
  3. Step 3: Cross multiply
    242,571.30x = 363,856.95 × 137,595.30
  4. Step 4: Simplify right side
    242,571.30x = 50,065,006,192.34
  5. Step 5: Solve for x
    x = 50,065,006,192.34/242,571.30
  6. Step 6: Final answer
    x = 206,392.95

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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.