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Finding the Fourth Proportional to 253,213.88, 349,422.08 and 138,470.16

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Solution

The fourth proportional to 253,213.88, 349,422.08 and 138,470.16 is: 191,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,213.88 : 349,422.08 = 138,470.16 : x
  2. Step 2: Convert to fraction form
    253,213.88/349,422.08 = 138,470.16/x
  3. Step 3: Cross multiply
    253,213.88x = 349,422.08 × 138,470.16
  4. Step 4: Simplify right side
    253,213.88x = 48,384,531,325.13
  5. Step 5: Solve for x
    x = 48,384,531,325.13/253,213.88
  6. Step 6: Final answer
    x = 191,081.67

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1.5x scale

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.