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Finding the Fourth Proportional to 105,871.04, 158,833.20 and 46,723.04

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Solution

The fourth proportional to 105,871.04, 158,833.20 and 46,723.04 is: 70,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,871.04 : 158,833.20 = 46,723.04 : x
  2. Step 2: Convert to fraction form
    105,871.04/158,833.20 = 46,723.04/x
  3. Step 3: Cross multiply
    105,871.04x = 158,833.20 × 46,723.04
  4. Step 4: Simplify right side
    105,871.04x = 7,421,169,956.93
  5. Step 5: Solve for x
    x = 7,421,169,956.93/105,871.04
  6. Step 6: Final answer
    x = 70,096.32

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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.