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Finding the Fourth Proportional to 102,054.60, 140,883.18 and 68,120.40

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Solution

The fourth proportional to 102,054.60, 140,883.18 and 68,120.40 is: 94,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,054.60 : 140,883.18 = 68,120.40 : x
  2. Step 2: Convert to fraction form
    102,054.60/140,883.18 = 68,120.40/x
  3. Step 3: Cross multiply
    102,054.60x = 140,883.18 × 68,120.40
  4. Step 4: Simplify right side
    102,054.60x = 9,597,018,574.87
  5. Step 5: Solve for x
    x = 9,597,018,574.87/102,054.60
  6. Step 6: Final answer
    x = 94,038.08

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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.