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Finding the Fourth Proportional to 200,277.54, 300,419.36 and 65,341.01

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Solution

The fourth proportional to 200,277.54, 300,419.36 and 65,341.01 is: 98,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,277.54 : 300,419.36 = 65,341.01 : x
  2. Step 2: Convert to fraction form
    200,277.54/300,419.36 = 65,341.01/x
  3. Step 3: Cross multiply
    200,277.54x = 300,419.36 × 65,341.01
  4. Step 4: Simplify right side
    200,277.54x = 19,629,702,577.15
  5. Step 5: Solve for x
    x = 19,629,702,577.15/200,277.54
  6. Step 6: Final answer
    x = 98,012.50

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Why These Related Problems?

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