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Finding the Fourth Proportional to 102,278.76, 141,145.74 and 59,829

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Solution

The fourth proportional to 102,278.76, 141,145.74 and 59,829 is: 82,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,278.76 : 141,145.74 = 59,829 : x
  2. Step 2: Convert to fraction form
    102,278.76/141,145.74 = 59,829/x
  3. Step 3: Cross multiply
    102,278.76x = 141,145.74 × 59,829
  4. Step 4: Simplify right side
    102,278.76x = 8,444,608,478.46
  5. Step 5: Solve for x
    x = 8,444,608,478.46/102,278.76
  6. Step 6: Final answer
    x = 82,564.63

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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.