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Finding the Fourth Proportional to 121,398.84, 182,096.10 and 46,498.68

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Solution

The fourth proportional to 121,398.84, 182,096.10 and 46,498.68 is: 69,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,398.84 : 182,096.10 = 46,498.68 : x
  2. Step 2: Convert to fraction form
    121,398.84/182,096.10 = 46,498.68/x
  3. Step 3: Cross multiply
    121,398.84x = 182,096.10 × 46,498.68
  4. Step 4: Simplify right side
    121,398.84x = 8,467,228,283.15
  5. Step 5: Solve for x
    x = 8,467,228,283.15/121,398.84
  6. Step 6: Final answer
    x = 69,747.19

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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.