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Finding the Fourth Proportional to 432,193.19, 648,391.62 and 147,886.84

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Solution

The fourth proportional to 432,193.19, 648,391.62 and 147,886.84 is: 221,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,193.19 : 648,391.62 = 147,886.84 : x
  2. Step 2: Convert to fraction form
    432,193.19/648,391.62 = 147,886.84/x
  3. Step 3: Cross multiply
    432,193.19x = 648,391.62 × 147,886.84
  4. Step 4: Simplify right side
    432,193.19x = 95,888,583,782.89
  5. Step 5: Solve for x
    x = 95,888,583,782.89/432,193.19
  6. Step 6: Final answer
    x = 221,865.10

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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.