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Finding the Fourth Proportional to 107,772.76, 148,674.90 and 83,734.93

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Solution

The fourth proportional to 107,772.76, 148,674.90 and 83,734.93 is: 115,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,772.76 : 148,674.90 = 83,734.93 : x
  2. Step 2: Convert to fraction form
    107,772.76/148,674.90 = 83,734.93/x
  3. Step 3: Cross multiply
    107,772.76x = 148,674.90 × 83,734.93
  4. Step 4: Simplify right side
    107,772.76x = 12,449,282,344.26
  5. Step 5: Solve for x
    x = 12,449,282,344.26/107,772.76
  6. Step 6: Final answer
    x = 115,514.18

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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.