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Finding the Fourth Proportional to 208,356.81, 287,533.77 and 112,863.50

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Solution

The fourth proportional to 208,356.81, 287,533.77 and 112,863.50 is: 155,752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,356.81 : 287,533.77 = 112,863.50 : x
  2. Step 2: Convert to fraction form
    208,356.81/287,533.77 = 112,863.50/x
  3. Step 3: Cross multiply
    208,356.81x = 287,533.77 × 112,863.50
  4. Step 4: Simplify right side
    208,356.81x = 32,452,068,147.53
  5. Step 5: Solve for x
    x = 32,452,068,147.53/208,356.81
  6. Step 6: Final answer
    x = 155,752.38

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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.