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Finding the Fourth Proportional to 106,719.41, 147,282.11 and 58,981.98

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Solution

The fourth proportional to 106,719.41, 147,282.11 and 58,981.98 is: 81,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,719.41 : 147,282.11 = 58,981.98 : x
  2. Step 2: Convert to fraction form
    106,719.41/147,282.11 = 58,981.98/x
  3. Step 3: Cross multiply
    106,719.41x = 147,282.11 × 58,981.98
  4. Step 4: Simplify right side
    106,719.41x = 8,686,990,466.38
  5. Step 5: Solve for x
    x = 8,686,990,466.38/106,719.41
  6. Step 6: Final answer
    x = 81,400.29

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Why These Related Problems?

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