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Finding the Fourth Proportional to 102,808.68, 153,786.54 and 96,510.12

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Solution

The fourth proportional to 102,808.68, 153,786.54 and 96,510.12 is: 144,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,808.68 : 153,786.54 = 96,510.12 : x
  2. Step 2: Convert to fraction form
    102,808.68/153,786.54 = 96,510.12/x
  3. Step 3: Cross multiply
    102,808.68x = 153,786.54 × 96,510.12
  4. Step 4: Simplify right side
    102,808.68x = 14,841,957,429.78
  5. Step 5: Solve for x
    x = 14,841,957,429.78/102,808.68
  6. Step 6: Final answer
    x = 144,364.83

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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.