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Finding the Fourth Proportional to 174,465.30, 261,697.95 and 156,969.30

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Solution

The fourth proportional to 174,465.30, 261,697.95 and 156,969.30 is: 235,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,465.30 : 261,697.95 = 156,969.30 : x
  2. Step 2: Convert to fraction form
    174,465.30/261,697.95 = 156,969.30/x
  3. Step 3: Cross multiply
    174,465.30x = 261,697.95 × 156,969.30
  4. Step 4: Simplify right side
    174,465.30x = 41,078,544,022.94
  5. Step 5: Solve for x
    x = 41,078,544,022.94/174,465.30
  6. Step 6: Final answer
    x = 235,453.95

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1.5x scale

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.