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Finding the Fourth Proportional to 216,495, 298,763.10 and 119,698.92

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Solution

The fourth proportional to 216,495, 298,763.10 and 119,698.92 is: 165,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,495 : 298,763.10 = 119,698.92 : x
  2. Step 2: Convert to fraction form
    216,495/298,763.10 = 119,698.92/x
  3. Step 3: Cross multiply
    216,495x = 298,763.10 × 119,698.92
  4. Step 4: Simplify right side
    216,495x = 35,761,620,405.85
  5. Step 5: Solve for x
    x = 35,761,620,405.85/216,495
  6. Step 6: Final answer
    x = 165,184.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.