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Finding the Fourth Proportional to 200,739.32, 301,137.62 and 65,774.52

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Solution

The fourth proportional to 200,739.32, 301,137.62 and 65,774.52 is: 98,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,739.32 : 301,137.62 = 65,774.52 : x
  2. Step 2: Convert to fraction form
    200,739.32/301,137.62 = 65,774.52/x
  3. Step 3: Cross multiply
    200,739.32x = 301,137.62 × 65,774.52
  4. Step 4: Simplify right side
    200,739.32x = 19,807,182,080.57
  5. Step 5: Solve for x
    x = 19,807,182,080.57/200,739.32
  6. Step 6: Final answer
    x = 98,671.17

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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.