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Finding the Fourth Proportional to 208,501.32, 287,731.68 and 113,007.96

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Solution

The fourth proportional to 208,501.32, 287,731.68 and 113,007.96 is: 155,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,501.32 : 287,731.68 = 113,007.96 : x
  2. Step 2: Convert to fraction form
    208,501.32/287,731.68 = 113,007.96/x
  3. Step 3: Cross multiply
    208,501.32x = 287,731.68 × 113,007.96
  4. Step 4: Simplify right side
    208,501.32x = 32,515,970,184.17
  5. Step 5: Solve for x
    x = 32,515,970,184.17/208,501.32
  6. Step 6: Final answer
    x = 155,950.91

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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.