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Finding the Fourth Proportional to 342,300, 513,518.40 and 105,633.78

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Solution

The fourth proportional to 342,300, 513,518.40 and 105,633.78 is: 158,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,300 : 513,518.40 = 105,633.78 : x
  2. Step 2: Convert to fraction form
    342,300/513,518.40 = 105,633.78/x
  3. Step 3: Cross multiply
    342,300x = 513,518.40 × 105,633.78
  4. Step 4: Simplify right side
    342,300x = 54,244,889,691.55
  5. Step 5: Solve for x
    x = 54,244,889,691.55/342,300
  6. Step 6: Final answer
    x = 158,471.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.