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Finding the Fourth Proportional to 147,035.20, 202,945.60 and 83,411.20

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Solution

The fourth proportional to 147,035.20, 202,945.60 and 83,411.20 is: 115,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,035.20 : 202,945.60 = 83,411.20 : x
  2. Step 2: Convert to fraction form
    147,035.20/202,945.60 = 83,411.20/x
  3. Step 3: Cross multiply
    147,035.20x = 202,945.60 × 83,411.20
  4. Step 4: Simplify right side
    147,035.20x = 16,927,936,030.72
  5. Step 5: Solve for x
    x = 16,927,936,030.72/147,035.20
  6. Step 6: Final answer
    x = 115,128.46

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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.