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Finding the Fourth Proportional to 117,102.60, 175,670.94 and 38,197.40

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Solution

The fourth proportional to 117,102.60, 175,670.94 and 38,197.40 is: 57,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,102.60 : 175,670.94 = 38,197.40 : x
  2. Step 2: Convert to fraction form
    117,102.60/175,670.94 = 38,197.40/x
  3. Step 3: Cross multiply
    117,102.60x = 175,670.94 × 38,197.40
  4. Step 4: Simplify right side
    117,102.60x = 6,710,173,163.56
  5. Step 5: Solve for x
    x = 6,710,173,163.56/117,102.60
  6. Step 6: Final answer
    x = 57,301.66

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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.