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Finding the Fourth Proportional to 115,770.51, 159,610.15 and 83,478.10

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Solution

The fourth proportional to 115,770.51, 159,610.15 and 83,478.10 is: 115,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,770.51 : 159,610.15 = 83,478.10 : x
  2. Step 2: Convert to fraction form
    115,770.51/159,610.15 = 83,478.10/x
  3. Step 3: Cross multiply
    115,770.51x = 159,610.15 × 83,478.10
  4. Step 4: Simplify right side
    115,770.51x = 13,323,952,062.72
  5. Step 5: Solve for x
    x = 13,323,952,062.72/115,770.51
  6. Step 6: Final answer
    x = 115,089.34

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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.