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Finding the Fourth Proportional to 109,398.56, 150,970.16 and 59,097.56

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Solution

The fourth proportional to 109,398.56, 150,970.16 and 59,097.56 is: 81,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,398.56 : 150,970.16 = 59,097.56 : x
  2. Step 2: Convert to fraction form
    109,398.56/150,970.16 = 59,097.56/x
  3. Step 3: Cross multiply
    109,398.56x = 150,970.16 × 59,097.56
  4. Step 4: Simplify right side
    109,398.56x = 8,921,968,170.75
  5. Step 5: Solve for x
    x = 8,921,968,170.75/109,398.56
  6. Step 6: Final answer
    x = 81,554.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.