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Finding the Fourth Proportional to 253,056.85, 349,206.38 and 138,341.41

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Solution

The fourth proportional to 253,056.85, 349,206.38 and 138,341.41 is: 190,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,056.85 : 349,206.38 = 138,341.41 : x
  2. Step 2: Convert to fraction form
    253,056.85/349,206.38 = 138,341.41/x
  3. Step 3: Cross multiply
    253,056.85x = 349,206.38 × 138,341.41
  4. Step 4: Simplify right side
    253,056.85x = 48,309,702,990.20
  5. Step 5: Solve for x
    x = 48,309,702,990.20/253,056.85
  6. Step 6: Final answer
    x = 190,904.55

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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.