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Finding the Fourth Proportional to 105,501.68, 158,143.16 and 65,968.02

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Solution

The fourth proportional to 105,501.68, 158,143.16 and 65,968.02 is: 98,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,501.68 : 158,143.16 = 65,968.02 : x
  2. Step 2: Convert to fraction form
    105,501.68/158,143.16 = 65,968.02/x
  3. Step 3: Cross multiply
    105,501.68x = 158,143.16 × 65,968.02
  4. Step 4: Simplify right side
    105,501.68x = 10,432,391,141.74
  5. Step 5: Solve for x
    x = 10,432,391,141.74/105,501.68
  6. Step 6: Final answer
    x = 98,883.65

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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.