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Finding the Fourth Proportional to 105,646.48, 158,072.31 and 74,118.04

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Solution

The fourth proportional to 105,646.48, 158,072.31 and 74,118.04 is: 110,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,646.48 : 158,072.31 = 74,118.04 : x
  2. Step 2: Convert to fraction form
    105,646.48/158,072.31 = 74,118.04/x
  3. Step 3: Cross multiply
    105,646.48x = 158,072.31 × 74,118.04
  4. Step 4: Simplify right side
    105,646.48x = 11,716,009,400.29
  5. Step 5: Solve for x
    x = 11,716,009,400.29/105,646.48
  6. Step 6: Final answer
    x = 110,898.25

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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.