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Finding the Fourth Proportional to 105,092.50, 145,027.13 and 57,345.70

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Solution

The fourth proportional to 105,092.50, 145,027.13 and 57,345.70 is: 79,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,092.50 : 145,027.13 = 57,345.70 : x
  2. Step 2: Convert to fraction form
    105,092.50/145,027.13 = 57,345.70/x
  3. Step 3: Cross multiply
    105,092.50x = 145,027.13 × 57,345.70
  4. Step 4: Simplify right side
    105,092.50x = 8,316,682,288.84
  5. Step 5: Solve for x
    x = 8,316,682,288.84/105,092.50
  6. Step 6: Final answer
    x = 79,136.78

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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.