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Finding the Fourth Proportional to 342,158.08, 513,204.13 and 105,437.20

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Solution

The fourth proportional to 342,158.08, 513,204.13 and 105,437.20 is: 158,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,158.08 : 513,204.13 = 105,437.20 : x
  2. Step 2: Convert to fraction form
    342,158.08/513,204.13 = 105,437.20/x
  3. Step 3: Cross multiply
    342,158.08x = 513,204.13 × 105,437.20
  4. Step 4: Simplify right side
    342,158.08x = 54,110,806,495.64
  5. Step 5: Solve for x
    x = 54,110,806,495.64/342,158.08
  6. Step 6: Final answer
    x = 158,145.63

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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.