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Finding the Fourth Proportional to 102,956.16, 142,094.36 and 59,340.24

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Solution

The fourth proportional to 102,956.16, 142,094.36 and 59,340.24 is: 81,898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,956.16 : 142,094.36 = 59,340.24 : x
  2. Step 2: Convert to fraction form
    102,956.16/142,094.36 = 59,340.24/x
  3. Step 3: Cross multiply
    102,956.16x = 142,094.36 × 59,340.24
  4. Step 4: Simplify right side
    102,956.16x = 8,431,913,425.05
  5. Step 5: Solve for x
    x = 8,431,913,425.05/102,956.16
  6. Step 6: Final answer
    x = 81,898.10

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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.