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Finding the Fourth Proportional to 105,411.84, 145,574.59 and 67,189.40

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Solution

The fourth proportional to 105,411.84, 145,574.59 and 67,189.40 is: 92,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,411.84 : 145,574.59 = 67,189.40 : x
  2. Step 2: Convert to fraction form
    105,411.84/145,574.59 = 67,189.40/x
  3. Step 3: Cross multiply
    105,411.84x = 145,574.59 × 67,189.40
  4. Step 4: Simplify right side
    105,411.84x = 9,781,069,357.35
  5. Step 5: Solve for x
    x = 9,781,069,357.35/105,411.84
  6. Step 6: Final answer
    x = 92,789.10

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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.