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Finding the Fourth Proportional to 342,154.84, 513,199.26 and 105,433.96

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Solution

The fourth proportional to 342,154.84, 513,199.26 and 105,433.96 is: 158,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,154.84 : 513,199.26 = 105,433.96 : x
  2. Step 2: Convert to fraction form
    342,154.84/513,199.26 = 105,433.96/x
  3. Step 3: Cross multiply
    342,154.84x = 513,199.26 × 105,433.96
  4. Step 4: Simplify right side
    342,154.84x = 54,108,630,250.87
  5. Step 5: Solve for x
    x = 54,108,630,250.87/342,154.84
  6. Step 6: Final answer
    x = 158,140.77

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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.