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Finding the Fourth Proportional to 220,668.10, 330,742.95 and 102,088.96

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Solution

The fourth proportional to 220,668.10, 330,742.95 and 102,088.96 is: 153,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,668.10 : 330,742.95 = 102,088.96 : x
  2. Step 2: Convert to fraction form
    220,668.10/330,742.95 = 102,088.96/x
  3. Step 3: Cross multiply
    220,668.10x = 330,742.95 × 102,088.96
  4. Step 4: Simplify right side
    220,668.10x = 33,765,203,792.83
  5. Step 5: Solve for x
    x = 33,765,203,792.83/220,668.10
  6. Step 6: Final answer
    x = 153,013.52

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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.