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Finding the Fourth Proportional to 432,085.58, 648,109.91 and 147,801.56

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Solution

The fourth proportional to 432,085.58, 648,109.91 and 147,801.56 is: 221,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,085.58 : 648,109.91 = 147,801.56 : x
  2. Step 2: Convert to fraction form
    432,085.58/648,109.91 = 147,801.56/x
  3. Step 3: Cross multiply
    432,085.58x = 648,109.91 × 147,801.56
  4. Step 4: Simplify right side
    432,085.58x = 95,791,651,769.90
  5. Step 5: Solve for x
    x = 95,791,651,769.90/432,085.58
  6. Step 6: Final answer
    x = 221,696.02

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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.