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Finding the Fourth Proportional to 109,597.32, 164,355.48 and 53,421.12

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Solution

The fourth proportional to 109,597.32, 164,355.48 and 53,421.12 is: 80,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,597.32 : 164,355.48 = 53,421.12 : x
  2. Step 2: Convert to fraction form
    109,597.32/164,355.48 = 53,421.12/x
  3. Step 3: Cross multiply
    109,597.32x = 164,355.48 × 53,421.12
  4. Step 4: Simplify right side
    109,597.32x = 8,780,053,819.74
  5. Step 5: Solve for x
    x = 8,780,053,819.74/109,597.32
  6. Step 6: Final answer
    x = 80,111.94

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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.