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Finding the Fourth Proportional to 107,708.48, 148,324.08 and 83,794.88

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Solution

The fourth proportional to 107,708.48, 148,324.08 and 83,794.88 is: 115,392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,708.48 : 148,324.08 = 83,794.88 : x
  2. Step 2: Convert to fraction form
    107,708.48/148,324.08 = 83,794.88/x
  3. Step 3: Cross multiply
    107,708.48x = 148,324.08 × 83,794.88
  4. Step 4: Simplify right side
    107,708.48x = 12,428,798,484.71
  5. Step 5: Solve for x
    x = 12,428,798,484.71/107,708.48
  6. Step 6: Final answer
    x = 115,392.94

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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.