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Finding the Fourth Proportional to 107,416.30, 160,930.05 and 91,864.30

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Solution

The fourth proportional to 107,416.30, 160,930.05 and 91,864.30 is: 137,630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,416.30 : 160,930.05 = 91,864.30 : x
  2. Step 2: Convert to fraction form
    107,416.30/160,930.05 = 91,864.30/x
  3. Step 3: Cross multiply
    107,416.30x = 160,930.05 × 91,864.30
  4. Step 4: Simplify right side
    107,416.30x = 14,783,726,392.22
  5. Step 5: Solve for x
    x = 14,783,726,392.22/107,416.30
  6. Step 6: Final answer
    x = 137,630.20

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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.