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Finding the Fourth Proportional to 208,513.91, 287,723.44 and 148,062.50

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Solution

The fourth proportional to 208,513.91, 287,723.44 and 148,062.50 is: 204,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,513.91 : 287,723.44 = 148,062.50 : x
  2. Step 2: Convert to fraction form
    208,513.91/287,723.44 = 148,062.50/x
  3. Step 3: Cross multiply
    208,513.91x = 287,723.44 × 148,062.50
  4. Step 4: Simplify right side
    208,513.91x = 42,601,052,184.15
  5. Step 5: Solve for x
    x = 42,601,052,184.15/208,513.91
  6. Step 6: Final answer
    x = 204,307.96

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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.