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Finding the Fourth Proportional to 138,941.04, 191,738.16 and 75,279.90

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Solution

The fourth proportional to 138,941.04, 191,738.16 and 75,279.90 is: 103,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,941.04 : 191,738.16 = 75,279.90 : x
  2. Step 2: Convert to fraction form
    138,941.04/191,738.16 = 75,279.90/x
  3. Step 3: Cross multiply
    138,941.04x = 191,738.16 × 75,279.90
  4. Step 4: Simplify right side
    138,941.04x = 14,434,029,510.98
  5. Step 5: Solve for x
    x = 14,434,029,510.98/138,941.04
  6. Step 6: Final answer
    x = 103,886.00

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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.