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Finding the Fourth Proportional to 145,111.66, 200,243.11 and 81,437.16

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Solution

The fourth proportional to 145,111.66, 200,243.11 and 81,437.16 is: 112,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,111.66 : 200,243.11 = 81,437.16 : x
  2. Step 2: Convert to fraction form
    145,111.66/200,243.11 = 81,437.16/x
  3. Step 3: Cross multiply
    145,111.66x = 200,243.11 × 81,437.16
  4. Step 4: Simplify right side
    145,111.66x = 16,307,229,157.12
  5. Step 5: Solve for x
    x = 16,307,229,157.12/145,111.66
  6. Step 6: Final answer
    x = 112,377.11

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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.