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Finding the Fourth Proportional to 208,202.47, 287,320.32 and 112,709.16

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Solution

The fourth proportional to 208,202.47, 287,320.32 and 112,709.16 is: 155,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,202.47 : 287,320.32 = 112,709.16 : x
  2. Step 2: Convert to fraction form
    208,202.47/287,320.32 = 112,709.16/x
  3. Step 3: Cross multiply
    208,202.47x = 287,320.32 × 112,709.16
  4. Step 4: Simplify right side
    208,202.47x = 32,383,631,354.59
  5. Step 5: Solve for x
    x = 32,383,631,354.59/208,202.47
  6. Step 6: Final answer
    x = 155,539.14

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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.