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Finding the Fourth Proportional to 117,938.53, 162,648.50 and 77,637.39

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Solution

The fourth proportional to 117,938.53, 162,648.50 and 77,637.39 is: 107,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,938.53 : 162,648.50 = 77,637.39 : x
  2. Step 2: Convert to fraction form
    117,938.53/162,648.50 = 77,637.39/x
  3. Step 3: Cross multiply
    117,938.53x = 162,648.50 × 77,637.39
  4. Step 4: Simplify right side
    117,938.53x = 12,627,605,027.42
  5. Step 5: Solve for x
    x = 12,627,605,027.42/117,938.53
  6. Step 6: Final answer
    x = 107,069.38

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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.