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Finding the Fourth Proportional to 138,835.46, 191,592.06 and 75,173.06

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Solution

The fourth proportional to 138,835.46, 191,592.06 and 75,173.06 is: 103,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,835.46 : 191,592.06 = 75,173.06 : x
  2. Step 2: Convert to fraction form
    138,835.46/191,592.06 = 75,173.06/x
  3. Step 3: Cross multiply
    138,835.46x = 191,592.06 × 75,173.06
  4. Step 4: Simplify right side
    138,835.46x = 14,402,561,421.90
  5. Step 5: Solve for x
    x = 14,402,561,421.90/138,835.46
  6. Step 6: Final answer
    x = 103,738.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.