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Finding the Fourth Proportional to 270,160.86, 372,803.40 and 149,301

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Solution

The fourth proportional to 270,160.86, 372,803.40 and 149,301 is: 206,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,160.86 : 372,803.40 = 149,301 : x
  2. Step 2: Convert to fraction form
    270,160.86/372,803.40 = 149,301/x
  3. Step 3: Cross multiply
    270,160.86x = 372,803.40 × 149,301
  4. Step 4: Simplify right side
    270,160.86x = 55,659,920,423.40
  5. Step 5: Solve for x
    x = 55,659,920,423.40/270,160.86
  6. Step 6: Final answer
    x = 206,025.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.