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Finding the Fourth Proportional to 151,913, 209,657.76 and 91,514.14

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Solution

The fourth proportional to 151,913, 209,657.76 and 91,514.14 is: 126,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,913 : 209,657.76 = 91,514.14 : x
  2. Step 2: Convert to fraction form
    151,913/209,657.76 = 91,514.14/x
  3. Step 3: Cross multiply
    151,913x = 209,657.76 × 91,514.14
  4. Step 4: Simplify right side
    151,913x = 19,186,649,600.73
  5. Step 5: Solve for x
    x = 19,186,649,600.73/151,913
  6. Step 6: Final answer
    x = 126,300.25

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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.