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Finding the Fourth Proportional to 174,473.30, 261,709.95 and 156,977.30

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Solution

The fourth proportional to 174,473.30, 261,709.95 and 156,977.30 is: 235,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,473.30 : 261,709.95 = 156,977.30 : x
  2. Step 2: Convert to fraction form
    174,473.30/261,709.95 = 156,977.30/x
  3. Step 3: Cross multiply
    174,473.30x = 261,709.95 × 156,977.30
  4. Step 4: Simplify right side
    174,473.30x = 41,082,521,334.14
  5. Step 5: Solve for x
    x = 41,082,521,334.14/174,473.30
  6. Step 6: Final answer
    x = 235,465.95

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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.