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Finding the Fourth Proportional to 96,564.60, 144,674.10 and 81,703.80

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Solution

The fourth proportional to 96,564.60, 144,674.10 and 81,703.80 is: 122,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,564.60 : 144,674.10 = 81,703.80 : x
  2. Step 2: Convert to fraction form
    96,564.60/144,674.10 = 81,703.80/x
  3. Step 3: Cross multiply
    96,564.60x = 144,674.10 × 81,703.80
  4. Step 4: Simplify right side
    96,564.60x = 11,820,423,731.58
  5. Step 5: Solve for x
    x = 11,820,423,731.58/96,564.60
  6. Step 6: Final answer
    x = 122,409.49

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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.