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Finding the Fourth Proportional to 107,576.40, 161,364.60 and 77,854.80

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Solution

The fourth proportional to 107,576.40, 161,364.60 and 77,854.80 is: 116,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,576.40 : 161,364.60 = 77,854.80 : x
  2. Step 2: Convert to fraction form
    107,576.40/161,364.60 = 77,854.80/x
  3. Step 3: Cross multiply
    107,576.40x = 161,364.60 × 77,854.80
  4. Step 4: Simplify right side
    107,576.40x = 12,563,008,660.08
  5. Step 5: Solve for x
    x = 12,563,008,660.08/107,576.40
  6. Step 6: Final answer
    x = 116,782.20

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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.