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Finding the Fourth Proportional to 201,091.40, 301,637.10 and 148,603.40

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Solution

The fourth proportional to 201,091.40, 301,637.10 and 148,603.40 is: 222,905.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,091.40 : 301,637.10 = 148,603.40 : x
  2. Step 2: Convert to fraction form
    201,091.40/301,637.10 = 148,603.40/x
  3. Step 3: Cross multiply
    201,091.40x = 301,637.10 × 148,603.40
  4. Step 4: Simplify right side
    201,091.40x = 44,824,298,626.14
  5. Step 5: Solve for x
    x = 44,824,298,626.14/201,091.40
  6. Step 6: Final answer
    x = 222,905.10

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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.