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Finding the Fourth Proportional to 209,736.52, 314,018.50 and 113,328.32

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Solution

The fourth proportional to 209,736.52, 314,018.50 and 113,328.32 is: 169,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,736.52 : 314,018.50 = 113,328.32 : x
  2. Step 2: Convert to fraction form
    209,736.52/314,018.50 = 113,328.32/x
  3. Step 3: Cross multiply
    209,736.52x = 314,018.50 × 113,328.32
  4. Step 4: Simplify right side
    209,736.52x = 35,587,186,917.19
  5. Step 5: Solve for x
    x = 35,587,186,917.19/209,736.52
  6. Step 6: Final answer
    x = 169,675.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.