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Finding the Fourth Proportional to 349,193.76, 523,756.62 and 112,706.16

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Solution

The fourth proportional to 349,193.76, 523,756.62 and 112,706.16 is: 169,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,193.76 : 523,756.62 = 112,706.16 : x
  2. Step 2: Convert to fraction form
    349,193.76/523,756.62 = 112,706.16/x
  3. Step 3: Cross multiply
    349,193.76x = 523,756.62 × 112,706.16
  4. Step 4: Simplify right side
    349,193.76x = 59,030,597,414.78
  5. Step 5: Solve for x
    x = 59,030,597,414.78/349,193.76
  6. Step 6: Final answer
    x = 169,048.26

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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.