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Finding the Fourth Proportional to 102,808.98, 153,786.87 and 96,510.42

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Solution

The fourth proportional to 102,808.98, 153,786.87 and 96,510.42 is: 144,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,808.98 : 153,786.87 = 96,510.42 : x
  2. Step 2: Convert to fraction form
    102,808.98/153,786.87 = 96,510.42/x
  3. Step 3: Cross multiply
    102,808.98x = 153,786.87 × 96,510.42
  4. Step 4: Simplify right side
    102,808.98x = 14,842,035,414.19
  5. Step 5: Solve for x
    x = 14,842,035,414.19/102,808.98
  6. Step 6: Final answer
    x = 144,365.17

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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.