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Finding the Fourth Proportional to 127,603, 191,406.12 and 44,497

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Solution

The fourth proportional to 127,603, 191,406.12 and 44,497 is: 66,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,603 : 191,406.12 = 44,497 : x
  2. Step 2: Convert to fraction form
    127,603/191,406.12 = 44,497/x
  3. Step 3: Cross multiply
    127,603x = 191,406.12 × 44,497
  4. Step 4: Simplify right side
    127,603x = 8,516,998,121.64
  5. Step 5: Solve for x
    x = 8,516,998,121.64/127,603
  6. Step 6: Final answer
    x = 66,746.06

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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.