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Finding the Fourth Proportional to 105,683.10, 145,892.54 and 65,423.16

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Solution

The fourth proportional to 105,683.10, 145,892.54 and 65,423.16 is: 90,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,683.10 : 145,892.54 = 65,423.16 : x
  2. Step 2: Convert to fraction form
    105,683.10/145,892.54 = 65,423.16/x
  3. Step 3: Cross multiply
    105,683.10x = 145,892.54 × 65,423.16
  4. Step 4: Simplify right side
    105,683.10x = 9,544,750,987.23
  5. Step 5: Solve for x
    x = 9,544,750,987.23/105,683.10
  6. Step 6: Final answer
    x = 90,314.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.