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Finding the Fourth Proportional to 107,269.70, 160,904.55 and 82,435.10

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Solution

The fourth proportional to 107,269.70, 160,904.55 and 82,435.10 is: 123,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,269.70 : 160,904.55 = 82,435.10 : x
  2. Step 2: Convert to fraction form
    107,269.70/160,904.55 = 82,435.10/x
  3. Step 3: Cross multiply
    107,269.70x = 160,904.55 × 82,435.10
  4. Step 4: Simplify right side
    107,269.70x = 13,264,182,669.71
  5. Step 5: Solve for x
    x = 13,264,182,669.71/107,269.70
  6. Step 6: Final answer
    x = 123,652.65

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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.