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Finding the Fourth Proportional to 151,950.17, 209,703.86 and 83,980.41

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Solution

The fourth proportional to 151,950.17, 209,703.86 and 83,980.41 is: 115,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,950.17 : 209,703.86 = 83,980.41 : x
  2. Step 2: Convert to fraction form
    151,950.17/209,703.86 = 83,980.41/x
  3. Step 3: Cross multiply
    151,950.17x = 209,703.86 × 83,980.41
  4. Step 4: Simplify right side
    151,950.17x = 17,611,016,141.38
  5. Step 5: Solve for x
    x = 17,611,016,141.38/151,950.17
  6. Step 6: Final answer
    x = 115,899.94

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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.