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Finding the Fourth Proportional to 147,648.60, 203,684.22 and 96,638.88

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Solution

The fourth proportional to 147,648.60, 203,684.22 and 96,638.88 is: 133,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,648.60 : 203,684.22 = 96,638.88 : x
  2. Step 2: Convert to fraction form
    147,648.60/203,684.22 = 96,638.88/x
  3. Step 3: Cross multiply
    147,648.60x = 203,684.22 × 96,638.88
  4. Step 4: Simplify right side
    147,648.60x = 19,683,814,894.47
  5. Step 5: Solve for x
    x = 19,683,814,894.47/147,648.60
  6. Step 6: Final answer
    x = 133,315.28

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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.