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Finding the Fourth Proportional to 208,063.84, 287,047.92 and 144,369.76

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Solution

The fourth proportional to 208,063.84, 287,047.92 and 144,369.76 is: 199,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,063.84 : 287,047.92 = 144,369.76 : x
  2. Step 2: Convert to fraction form
    208,063.84/287,047.92 = 144,369.76/x
  3. Step 3: Cross multiply
    208,063.84x = 287,047.92 × 144,369.76
  4. Step 4: Simplify right side
    208,063.84x = 41,441,039,318.90
  5. Step 5: Solve for x
    x = 41,441,039,318.90/208,063.84
  6. Step 6: Final answer
    x = 199,174.63

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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.