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Finding the Fourth Proportional to 140,886.16, 194,422.02 and 77,226.64

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Solution

The fourth proportional to 140,886.16, 194,422.02 and 77,226.64 is: 106,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,886.16 : 194,422.02 = 77,226.64 : x
  2. Step 2: Convert to fraction form
    140,886.16/194,422.02 = 77,226.64/x
  3. Step 3: Cross multiply
    140,886.16x = 194,422.02 × 77,226.64
  4. Step 4: Simplify right side
    140,886.16x = 15,014,559,346.61
  5. Step 5: Solve for x
    x = 15,014,559,346.61/140,886.16
  6. Step 6: Final answer
    x = 106,572.28

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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.