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Finding the Fourth Proportional to 145,109.57, 200,240.22 and 81,435.06

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Solution

The fourth proportional to 145,109.57, 200,240.22 and 81,435.06 is: 112,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,109.57 : 200,240.22 = 81,435.06 : x
  2. Step 2: Convert to fraction form
    145,109.57/200,240.22 = 81,435.06/x
  3. Step 3: Cross multiply
    145,109.57x = 200,240.22 × 81,435.06
  4. Step 4: Simplify right side
    145,109.57x = 16,306,574,330.11
  5. Step 5: Solve for x
    x = 16,306,574,330.11/145,109.57
  6. Step 6: Final answer
    x = 112,374.22

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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.