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Finding the Fourth Proportional to 105,697.67, 145,778.08 and 92,923.70

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Solution

The fourth proportional to 105,697.67, 145,778.08 and 92,923.70 is: 128,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,697.67 : 145,778.08 = 92,923.70 : x
  2. Step 2: Convert to fraction form
    105,697.67/145,778.08 = 92,923.70/x
  3. Step 3: Cross multiply
    105,697.67x = 145,778.08 × 92,923.70
  4. Step 4: Simplify right side
    105,697.67x = 13,546,238,572.50
  5. Step 5: Solve for x
    x = 13,546,238,572.50/105,697.67
  6. Step 6: Final answer
    x = 128,160.24

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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.