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Finding the Fourth Proportional to 116,117.84, 174,236.70 and 49,540.10

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Solution

The fourth proportional to 116,117.84, 174,236.70 and 49,540.10 is: 74,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,117.84 : 174,236.70 = 49,540.10 : x
  2. Step 2: Convert to fraction form
    116,117.84/174,236.70 = 49,540.10/x
  3. Step 3: Cross multiply
    116,117.84x = 174,236.70 × 49,540.10
  4. Step 4: Simplify right side
    116,117.84x = 8,631,703,541.67
  5. Step 5: Solve for x
    x = 8,631,703,541.67/116,117.84
  6. Step 6: Final answer
    x = 74,335.72

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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.