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Finding the Fourth Proportional to 207,281.94, 286,050.32 and 116,639.43

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Solution

The fourth proportional to 207,281.94, 286,050.32 and 116,639.43 is: 160,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,281.94 : 286,050.32 = 116,639.43 : x
  2. Step 2: Convert to fraction form
    207,281.94/286,050.32 = 116,639.43/x
  3. Step 3: Cross multiply
    207,281.94x = 286,050.32 × 116,639.43
  4. Step 4: Simplify right side
    207,281.94x = 33,364,745,692.92
  5. Step 5: Solve for x
    x = 33,364,745,692.92/207,281.94
  6. Step 6: Final answer
    x = 160,963.11

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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.