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Finding the Fourth Proportional to 208,868.52, 288,252.82 and 118,224.16

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Solution

The fourth proportional to 208,868.52, 288,252.82 and 118,224.16 is: 163,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,868.52 : 288,252.82 = 118,224.16 : x
  2. Step 2: Convert to fraction form
    208,868.52/288,252.82 = 118,224.16/x
  3. Step 3: Cross multiply
    208,868.52x = 288,252.82 × 118,224.16
  4. Step 4: Simplify right side
    208,868.52x = 34,078,447,512.13
  5. Step 5: Solve for x
    x = 34,078,447,512.13/208,868.52
  6. Step 6: Final answer
    x = 163,157.41

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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.