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Finding the Fourth Proportional to 116,465.10, 174,697.65 and 74,474.70

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Solution

The fourth proportional to 116,465.10, 174,697.65 and 74,474.70 is: 111,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,465.10 : 174,697.65 = 74,474.70 : x
  2. Step 2: Convert to fraction form
    116,465.10/174,697.65 = 74,474.70/x
  3. Step 3: Cross multiply
    116,465.10x = 174,697.65 × 74,474.70
  4. Step 4: Simplify right side
    116,465.10x = 13,010,555,074.46
  5. Step 5: Solve for x
    x = 13,010,555,074.46/116,465.10
  6. Step 6: Final answer
    x = 111,712.05

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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.