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Finding the Fourth Proportional to 127,336, 191,016.15 and 52,461.22

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Solution

The fourth proportional to 127,336, 191,016.15 and 52,461.22 is: 78,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,336 : 191,016.15 = 52,461.22 : x
  2. Step 2: Convert to fraction form
    127,336/191,016.15 = 52,461.22/x
  3. Step 3: Cross multiply
    127,336x = 191,016.15 × 52,461.22
  4. Step 4: Simplify right side
    127,336x = 10,020,940,268.70
  5. Step 5: Solve for x
    x = 10,020,940,268.70/127,336
  6. Step 6: Final answer
    x = 78,696.84

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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.