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Finding the Fourth Proportional to 102,648.80, 153,973.20 and 96,039.20

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Solution

The fourth proportional to 102,648.80, 153,973.20 and 96,039.20 is: 144,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,648.80 : 153,973.20 = 96,039.20 : x
  2. Step 2: Convert to fraction form
    102,648.80/153,973.20 = 96,039.20/x
  3. Step 3: Cross multiply
    102,648.80x = 153,973.20 × 96,039.20
  4. Step 4: Simplify right side
    102,648.80x = 14,787,462,949.44
  5. Step 5: Solve for x
    x = 14,787,462,949.44/102,648.80
  6. Step 6: Final answer
    x = 144,058.80

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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.