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Finding the Fourth Proportional to 107,456.74, 148,438.65 and 97,880.74

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Solution

The fourth proportional to 107,456.74, 148,438.65 and 97,880.74 is: 135,210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,456.74 : 148,438.65 = 97,880.74 : x
  2. Step 2: Convert to fraction form
    107,456.74/148,438.65 = 97,880.74/x
  3. Step 3: Cross multiply
    107,456.74x = 148,438.65 × 97,880.74
  4. Step 4: Simplify right side
    107,456.74x = 14,529,284,906.60
  5. Step 5: Solve for x
    x = 14,529,284,906.60/107,456.74
  6. Step 6: Final answer
    x = 135,210.55

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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.