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Finding the Fourth Proportional to 342,000.96, 513,056.58 and 105,343.56

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Solution

The fourth proportional to 342,000.96, 513,056.58 and 105,343.56 is: 158,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,000.96 : 513,056.58 = 105,343.56 : x
  2. Step 2: Convert to fraction form
    342,000.96/513,056.58 = 105,343.56/x
  3. Step 3: Cross multiply
    342,000.96x = 513,056.58 × 105,343.56
  4. Step 4: Simplify right side
    342,000.96x = 54,047,206,618.62
  5. Step 5: Solve for x
    x = 54,047,206,618.62/342,000.96
  6. Step 6: Final answer
    x = 158,032.32

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1.5x scale

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.