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Finding the Fourth Proportional to 410,776.39, 616,157.92 and 158,111.74

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Solution

The fourth proportional to 410,776.39, 616,157.92 and 158,111.74 is: 237,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,776.39 : 616,157.92 = 158,111.74 : x
  2. Step 2: Convert to fraction form
    410,776.39/616,157.92 = 158,111.74/x
  3. Step 3: Cross multiply
    410,776.39x = 616,157.92 × 158,111.74
  4. Step 4: Simplify right side
    410,776.39x = 97,421,800,845.98
  5. Step 5: Solve for x
    x = 97,421,800,845.98/410,776.39
  6. Step 6: Final answer
    x = 237,165.04

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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.