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Finding the Fourth Proportional to 180,206.52, 248,703.12 and 99,640.14

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Solution

The fourth proportional to 180,206.52, 248,703.12 and 99,640.14 is: 137,513.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,206.52 : 248,703.12 = 99,640.14 : x
  2. Step 2: Convert to fraction form
    180,206.52/248,703.12 = 99,640.14/x
  3. Step 3: Cross multiply
    180,206.52x = 248,703.12 × 99,640.14
  4. Step 4: Simplify right side
    180,206.52x = 24,780,813,695.24
  5. Step 5: Solve for x
    x = 24,780,813,695.24/180,206.52
  6. Step 6: Final answer
    x = 137,513.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.