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Finding the Fourth Proportional to 201,417.80, 301,781.10 and 96,009.80

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Solution

The fourth proportional to 201,417.80, 301,781.10 and 96,009.80 is: 143,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,417.80 : 301,781.10 = 96,009.80 : x
  2. Step 2: Convert to fraction form
    201,417.80/301,781.10 = 96,009.80/x
  3. Step 3: Cross multiply
    201,417.80x = 301,781.10 × 96,009.80
  4. Step 4: Simplify right side
    201,417.80x = 28,973,943,054.78
  5. Step 5: Solve for x
    x = 28,973,943,054.78/201,417.80
  6. Step 6: Final answer
    x = 143,849.96

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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.