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Finding the Fourth Proportional to 117,706.98, 162,439.65 and 66,719.10

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Solution

The fourth proportional to 117,706.98, 162,439.65 and 66,719.10 is: 92,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,706.98 : 162,439.65 = 66,719.10 : x
  2. Step 2: Convert to fraction form
    117,706.98/162,439.65 = 66,719.10/x
  3. Step 3: Cross multiply
    117,706.98x = 162,439.65 × 66,719.10
  4. Step 4: Simplify right side
    117,706.98x = 10,837,827,252.32
  5. Step 5: Solve for x
    x = 10,837,827,252.32/117,706.98
  6. Step 6: Final answer
    x = 92,074.64

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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.