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Finding the Fourth Proportional to 100,952.16, 139,051.44 and 76,846.56

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Solution

The fourth proportional to 100,952.16, 139,051.44 and 76,846.56 is: 105,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,952.16 : 139,051.44 = 76,846.56 : x
  2. Step 2: Convert to fraction form
    100,952.16/139,051.44 = 76,846.56/x
  3. Step 3: Cross multiply
    100,952.16x = 139,051.44 × 76,846.56
  4. Step 4: Simplify right side
    100,952.16x = 10,685,624,827.05
  5. Step 5: Solve for x
    x = 10,685,624,827.05/100,952.16
  6. Step 6: Final answer
    x = 105,848.40

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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.