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Finding the Fourth Proportional to 151,051.98, 208,454.13 and 83,071.92

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Solution

The fourth proportional to 151,051.98, 208,454.13 and 83,071.92 is: 114,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,051.98 : 208,454.13 = 83,071.92 : x
  2. Step 2: Convert to fraction form
    151,051.98/208,454.13 = 83,071.92/x
  3. Step 3: Cross multiply
    151,051.98x = 208,454.13 × 83,071.92
  4. Step 4: Simplify right side
    151,051.98x = 17,316,684,811.03
  5. Step 5: Solve for x
    x = 17,316,684,811.03/151,051.98
  6. Step 6: Final answer
    x = 114,640.57

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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.