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Finding the Fourth Proportional to 145,111.85, 200,243.36 and 81,437.34

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Solution

The fourth proportional to 145,111.85, 200,243.36 and 81,437.34 is: 112,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,111.85 : 200,243.36 = 81,437.34 : x
  2. Step 2: Convert to fraction form
    145,111.85/200,243.36 = 81,437.34/x
  3. Step 3: Cross multiply
    145,111.85x = 200,243.36 × 81,437.34
  4. Step 4: Simplify right side
    145,111.85x = 16,307,287,698.26
  5. Step 5: Solve for x
    x = 16,307,287,698.26/145,111.85
  6. Step 6: Final answer
    x = 112,377.37

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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.