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Finding the Fourth Proportional to 342,306.64, 513,271.96 and 105,583.60

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Solution

The fourth proportional to 342,306.64, 513,271.96 and 105,583.60 is: 158,317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,306.64 : 513,271.96 = 105,583.60 : x
  2. Step 2: Convert to fraction form
    342,306.64/513,271.96 = 105,583.60/x
  3. Step 3: Cross multiply
    342,306.64x = 513,271.96 × 105,583.60
  4. Step 4: Simplify right side
    342,306.64x = 54,193,101,315.86
  5. Step 5: Solve for x
    x = 54,193,101,315.86/342,306.64
  6. Step 6: Final answer
    x = 158,317.41

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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.