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Finding the Fourth Proportional to 113,535.33, 156,678.81 and 65,816.40

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Solution

The fourth proportional to 113,535.33, 156,678.81 and 65,816.40 is: 90,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,535.33 : 156,678.81 = 65,816.40 : x
  2. Step 2: Convert to fraction form
    113,535.33/156,678.81 = 65,816.40/x
  3. Step 3: Cross multiply
    113,535.33x = 156,678.81 × 65,816.40
  4. Step 4: Simplify right side
    113,535.33x = 10,312,035,230.48
  5. Step 5: Solve for x
    x = 10,312,035,230.48/113,535.33
  6. Step 6: Final answer
    x = 90,826.66

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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.