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Finding the Fourth Proportional to 116,038.14, 173,834.87 and 78,533.52

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Solution

The fourth proportional to 116,038.14, 173,834.87 and 78,533.52 is: 117,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,038.14 : 173,834.87 = 78,533.52 : x
  2. Step 2: Convert to fraction form
    116,038.14/173,834.87 = 78,533.52/x
  3. Step 3: Cross multiply
    116,038.14x = 173,834.87 × 78,533.52
  4. Step 4: Simplify right side
    116,038.14x = 13,651,863,847.17
  5. Step 5: Solve for x
    x = 13,651,863,847.17/116,038.14
  6. Step 6: Final answer
    x = 117,649.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.