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Finding the Fourth Proportional to 105,138, 145,090.62 and 67,412.25

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Solution

The fourth proportional to 105,138, 145,090.62 and 67,412.25 is: 93,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,138 : 145,090.62 = 67,412.25 : x
  2. Step 2: Convert to fraction form
    105,138/145,090.62 = 67,412.25/x
  3. Step 3: Cross multiply
    105,138x = 145,090.62 × 67,412.25
  4. Step 4: Simplify right side
    105,138x = 9,780,885,148.10
  5. Step 5: Solve for x
    x = 9,780,885,148.10/105,138
  6. Step 6: Final answer
    x = 93,029.02

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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.