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Finding the Fourth Proportional to 105,642.28, 158,472.06 and 43,313.32

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Solution

The fourth proportional to 105,642.28, 158,472.06 and 43,313.32 is: 64,973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,642.28 : 158,472.06 = 43,313.32 : x
  2. Step 2: Convert to fraction form
    105,642.28/158,472.06 = 43,313.32/x
  3. Step 3: Cross multiply
    105,642.28x = 158,472.06 × 43,313.32
  4. Step 4: Simplify right side
    105,642.28x = 6,863,951,045.84
  5. Step 5: Solve for x
    x = 6,863,951,045.84/105,642.28
  6. Step 6: Final answer
    x = 64,973.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.