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Finding the Fourth Proportional to 208,203.64, 287,318.64 and 112,708.24

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Solution

The fourth proportional to 208,203.64, 287,318.64 and 112,708.24 is: 155,536.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,203.64 : 287,318.64 = 112,708.24 : x
  2. Step 2: Convert to fraction form
    208,203.64/287,318.64 = 112,708.24/x
  3. Step 3: Cross multiply
    208,203.64x = 287,318.64 × 112,708.24
  4. Step 4: Simplify right side
    208,203.64x = 32,383,178,233.59
  5. Step 5: Solve for x
    x = 32,383,178,233.59/208,203.64
  6. Step 6: Final answer
    x = 155,536.08

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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.