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Finding the Fourth Proportional to 208,798.16, 313,171.45 and 88,903.31

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Solution

The fourth proportional to 208,798.16, 313,171.45 and 88,903.31 is: 133,343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,798.16 : 313,171.45 = 88,903.31 : x
  2. Step 2: Convert to fraction form
    208,798.16/313,171.45 = 88,903.31/x
  3. Step 3: Cross multiply
    208,798.16x = 313,171.45 × 88,903.31
  4. Step 4: Simplify right side
    208,798.16x = 27,841,976,714.38
  5. Step 5: Solve for x
    x = 27,841,976,714.38/208,798.16
  6. Step 6: Final answer
    x = 133,343.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.