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Finding the Fourth Proportional to 151,842.16, 209,542.32 and 84,774.16

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Solution

The fourth proportional to 151,842.16, 209,542.32 and 84,774.16 is: 116,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,842.16 : 209,542.32 = 84,774.16 : x
  2. Step 2: Convert to fraction form
    151,842.16/209,542.32 = 84,774.16/x
  3. Step 3: Cross multiply
    151,842.16x = 209,542.32 × 84,774.16
  4. Step 4: Simplify right side
    151,842.16x = 17,763,774,162.45
  5. Step 5: Solve for x
    x = 17,763,774,162.45/151,842.16
  6. Step 6: Final answer
    x = 116,988.42

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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.