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Finding the Fourth Proportional to 116,140.95, 174,093.77 and 78,704.82

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Solution

The fourth proportional to 116,140.95, 174,093.77 and 78,704.82 is: 117,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,140.95 : 174,093.77 = 78,704.82 : x
  2. Step 2: Convert to fraction form
    116,140.95/174,093.77 = 78,704.82/x
  3. Step 3: Cross multiply
    116,140.95x = 174,093.77 × 78,704.82
  4. Step 4: Simplify right side
    116,140.95x = 13,702,018,437.45
  5. Step 5: Solve for x
    x = 13,702,018,437.45/116,140.95
  6. Step 6: Final answer
    x = 117,977.50

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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.