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Finding the Fourth Proportional to 159,486.30, 220,051.35 and 102,829.50

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Solution

The fourth proportional to 159,486.30, 220,051.35 and 102,829.50 is: 141,879.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,486.30 : 220,051.35 = 102,829.50 : x
  2. Step 2: Convert to fraction form
    159,486.30/220,051.35 = 102,829.50/x
  3. Step 3: Cross multiply
    159,486.30x = 220,051.35 × 102,829.50
  4. Step 4: Simplify right side
    159,486.30x = 22,627,770,294.83
  5. Step 5: Solve for x
    x = 22,627,770,294.83/159,486.30
  6. Step 6: Final answer
    x = 141,879.08

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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.