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Finding the Fourth Proportional to 165,219.65, 247,829.02 and 46,891.10

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Solution

The fourth proportional to 165,219.65, 247,829.02 and 46,891.10 is: 70,336.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,219.65 : 247,829.02 = 46,891.10 : x
  2. Step 2: Convert to fraction form
    165,219.65/247,829.02 = 46,891.10/x
  3. Step 3: Cross multiply
    165,219.65x = 247,829.02 × 46,891.10
  4. Step 4: Simplify right side
    165,219.65x = 11,620,975,862.07
  5. Step 5: Solve for x
    x = 11,620,975,862.07/165,219.65
  6. Step 6: Final answer
    x = 70,336.52

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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.