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Finding the Fourth Proportional to 105,428.32, 145,538.64 and 67,239.16

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Solution

The fourth proportional to 105,428.32, 145,538.64 and 67,239.16 is: 92,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,428.32 : 145,538.64 = 67,239.16 : x
  2. Step 2: Convert to fraction form
    105,428.32/145,538.64 = 67,239.16/x
  3. Step 3: Cross multiply
    105,428.32x = 145,538.64 × 67,239.16
  4. Step 4: Simplify right side
    105,428.32x = 9,785,895,901.14
  5. Step 5: Solve for x
    x = 9,785,895,901.14/105,428.32
  6. Step 6: Final answer
    x = 92,820.37

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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.