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Finding the Fourth Proportional to 140,698.40, 194,157.84 and 77,035.04

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Solution

The fourth proportional to 140,698.40, 194,157.84 and 77,035.04 is: 106,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,698.40 : 194,157.84 = 77,035.04 : x
  2. Step 2: Convert to fraction form
    140,698.40/194,157.84 = 77,035.04/x
  3. Step 3: Cross multiply
    140,698.40x = 194,157.84 × 77,035.04
  4. Step 4: Simplify right side
    140,698.40x = 14,956,956,970.71
  5. Step 5: Solve for x
    x = 14,956,956,970.71/140,698.40
  6. Step 6: Final answer
    x = 106,305.10

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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.