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Finding the Fourth Proportional to 342,532.02, 513,847.26 and 105,893.16

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Solution

The fourth proportional to 342,532.02, 513,847.26 and 105,893.16 is: 158,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,532.02 : 513,847.26 = 105,893.16 : x
  2. Step 2: Convert to fraction form
    342,532.02/513,847.26 = 105,893.16/x
  3. Step 3: Cross multiply
    342,532.02x = 513,847.26 × 105,893.16
  4. Step 4: Simplify right side
    342,532.02x = 54,412,908,191.81
  5. Step 5: Solve for x
    x = 54,412,908,191.81/342,532.02
  6. Step 6: Final answer
    x = 158,854.95

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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.