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Finding the Fourth Proportional to 107,213.63, 147,857.96 and 66,931.11

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Solution

The fourth proportional to 107,213.63, 147,857.96 and 66,931.11 is: 92,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,213.63 : 147,857.96 = 66,931.11 : x
  2. Step 2: Convert to fraction form
    107,213.63/147,857.96 = 66,931.11/x
  3. Step 3: Cross multiply
    107,213.63x = 147,857.96 × 66,931.11
  4. Step 4: Simplify right side
    107,213.63x = 9,896,297,050.48
  5. Step 5: Solve for x
    x = 9,896,297,050.48/107,213.63
  6. Step 6: Final answer
    x = 92,304.47

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1.5x scale

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.