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Finding the Fourth Proportional to 208,837.32, 314,798.51 and 196,645.20

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Solution

The fourth proportional to 208,837.32, 314,798.51 and 196,645.20 is: 296,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,837.32 : 314,798.51 = 196,645.20 : x
  2. Step 2: Convert to fraction form
    208,837.32/314,798.51 = 196,645.20/x
  3. Step 3: Cross multiply
    208,837.32x = 314,798.51 × 196,645.20
  4. Step 4: Simplify right side
    208,837.32x = 61,903,614,975.43
  5. Step 5: Solve for x
    x = 61,903,614,975.43/208,837.32
  6. Step 6: Final answer
    x = 296,420.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.