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Finding the Fourth Proportional to 345,874, 518,826.92 and 105,970.72

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Solution

The fourth proportional to 345,874, 518,826.92 and 105,970.72 is: 158,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,874 : 518,826.92 = 105,970.72 : x
  2. Step 2: Convert to fraction form
    345,874/518,826.92 = 105,970.72/x
  3. Step 3: Cross multiply
    345,874x = 518,826.92 × 105,970.72
  4. Step 4: Simplify right side
    345,874x = 54,980,462,267.78
  5. Step 5: Solve for x
    x = 54,980,462,267.78/345,874
  6. Step 6: Final answer
    x = 158,960.96

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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.