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Finding the Fourth Proportional to 201,109.40, 301,404.90 and 154,129.40

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Solution

The fourth proportional to 201,109.40, 301,404.90 and 154,129.40 is: 230,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,109.40 : 301,404.90 = 154,129.40 : x
  2. Step 2: Convert to fraction form
    201,109.40/301,404.90 = 154,129.40/x
  3. Step 3: Cross multiply
    201,109.40x = 301,404.90 × 154,129.40
  4. Step 4: Simplify right side
    201,109.40x = 46,455,356,394.06
  5. Step 5: Solve for x
    x = 46,455,356,394.06/201,109.40
  6. Step 6: Final answer
    x = 230,995.45

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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.