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Finding the Fourth Proportional to 349,194.76, 523,758.12 and 112,707.16

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Solution

The fourth proportional to 349,194.76, 523,758.12 and 112,707.16 is: 169,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,194.76 : 523,758.12 = 112,707.16 : x
  2. Step 2: Convert to fraction form
    349,194.76/523,758.12 = 112,707.16/x
  3. Step 3: Cross multiply
    349,194.76x = 523,758.12 × 112,707.16
  4. Step 4: Simplify right side
    349,194.76x = 59,031,290,232.14
  5. Step 5: Solve for x
    x = 59,031,290,232.14/349,194.76
  6. Step 6: Final answer
    x = 169,049.76

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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.