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Finding the Fourth Proportional to 102,998.30, 154,612.65 and 96,230.30

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Solution

The fourth proportional to 102,998.30, 154,612.65 and 96,230.30 is: 144,453.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,998.30 : 154,612.65 = 96,230.30 : x
  2. Step 2: Convert to fraction form
    102,998.30/154,612.65 = 96,230.30/x
  3. Step 3: Cross multiply
    102,998.30x = 154,612.65 × 96,230.30
  4. Step 4: Simplify right side
    102,998.30x = 14,878,421,693.30
  5. Step 5: Solve for x
    x = 14,878,421,693.30/102,998.30
  6. Step 6: Final answer
    x = 144,453.08

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1.5x scale

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.