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Finding the Fourth Proportional to 151,005.69, 208,387.98 and 83,023.83

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Solution

The fourth proportional to 151,005.69, 208,387.98 and 83,023.83 is: 114,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,005.69 : 208,387.98 = 83,023.83 : x
  2. Step 2: Convert to fraction form
    151,005.69/208,387.98 = 83,023.83/x
  3. Step 3: Cross multiply
    151,005.69x = 208,387.98 × 83,023.83
  4. Step 4: Simplify right side
    151,005.69x = 17,301,168,225.56
  5. Step 5: Solve for x
    x = 17,301,168,225.56/151,005.69
  6. Step 6: Final answer
    x = 114,572.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.