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Finding the Fourth Proportional to 113,533.11, 156,675.74 and 65,814.12

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Solution

The fourth proportional to 113,533.11, 156,675.74 and 65,814.12 is: 90,823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,533.11 : 156,675.74 = 65,814.12 : x
  2. Step 2: Convert to fraction form
    113,533.11/156,675.74 = 65,814.12/x
  3. Step 3: Cross multiply
    113,533.11x = 156,675.74 × 65,814.12
  4. Step 4: Simplify right side
    113,533.11x = 10,311,475,624.38
  5. Step 5: Solve for x
    x = 10,311,475,624.38/113,533.11
  6. Step 6: Final answer
    x = 90,823.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.