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Finding the Fourth Proportional to 105,429.40, 158,144.10 and 35,301.40

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Solution

The fourth proportional to 105,429.40, 158,144.10 and 35,301.40 is: 52,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,429.40 : 158,144.10 = 35,301.40 : x
  2. Step 2: Convert to fraction form
    105,429.40/158,144.10 = 35,301.40/x
  3. Step 3: Cross multiply
    105,429.40x = 158,144.10 × 35,301.40
  4. Step 4: Simplify right side
    105,429.40x = 5,582,708,131.74
  5. Step 5: Solve for x
    x = 5,582,708,131.74/105,429.40
  6. Step 6: Final answer
    x = 52,952.10

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