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Finding the Fourth Proportional to 208,315.54, 287,475.36 and 112,822.24

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Solution

The fourth proportional to 208,315.54, 287,475.36 and 112,822.24 is: 155,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,315.54 : 287,475.36 = 112,822.24 : x
  2. Step 2: Convert to fraction form
    208,315.54/287,475.36 = 112,822.24/x
  3. Step 3: Cross multiply
    208,315.54x = 287,475.36 × 112,822.24
  4. Step 4: Simplify right side
    208,315.54x = 32,433,614,060.01
  5. Step 5: Solve for x
    x = 32,433,614,060.01/208,315.54
  6. Step 6: Final answer
    x = 155,694.65

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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.