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Finding the Fourth Proportional to 109,612.10, 164,418.15 and 97,364.90

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Solution

The fourth proportional to 109,612.10, 164,418.15 and 97,364.90 is: 146,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,612.10 : 164,418.15 = 97,364.90 : x
  2. Step 2: Convert to fraction form
    109,612.10/164,418.15 = 97,364.90/x
  3. Step 3: Cross multiply
    109,612.10x = 164,418.15 × 97,364.90
  4. Step 4: Simplify right side
    109,612.10x = 16,008,556,732.94
  5. Step 5: Solve for x
    x = 16,008,556,732.94/109,612.10
  6. Step 6: Final answer
    x = 146,047.35

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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.