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Finding the Fourth Proportional to 102,926.70, 154,390.05 and 96,014.70

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Solution

The fourth proportional to 102,926.70, 154,390.05 and 96,014.70 is: 144,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,926.70 : 154,390.05 = 96,014.70 : x
  2. Step 2: Convert to fraction form
    102,926.70/154,390.05 = 96,014.70/x
  3. Step 3: Cross multiply
    102,926.70x = 154,390.05 × 96,014.70
  4. Step 4: Simplify right side
    102,926.70x = 14,823,714,333.74
  5. Step 5: Solve for x
    x = 14,823,714,333.74/102,926.70
  6. Step 6: Final answer
    x = 144,022.05

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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.