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Finding the Fourth Proportional to 105,262.14, 145,358.74 and 67,602

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Solution

The fourth proportional to 105,262.14, 145,358.74 and 67,602 is: 93,353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,262.14 : 145,358.74 = 67,602 : x
  2. Step 2: Convert to fraction form
    105,262.14/145,358.74 = 67,602/x
  3. Step 3: Cross multiply
    105,262.14x = 145,358.74 × 67,602
  4. Step 4: Simplify right side
    105,262.14x = 9,826,541,541.48
  5. Step 5: Solve for x
    x = 9,826,541,541.48/105,262.14
  6. Step 6: Final answer
    x = 93,353.05

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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.