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Finding the Fourth Proportional to 201,653.40, 302,480.10 and 149,165.40

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Solution

The fourth proportional to 201,653.40, 302,480.10 and 149,165.40 is: 223,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,653.40 : 302,480.10 = 149,165.40 : x
  2. Step 2: Convert to fraction form
    201,653.40/302,480.10 = 149,165.40/x
  3. Step 3: Cross multiply
    201,653.40x = 302,480.10 × 149,165.40
  4. Step 4: Simplify right side
    201,653.40x = 45,119,565,108.54
  5. Step 5: Solve for x
    x = 45,119,565,108.54/201,653.40
  6. Step 6: Final answer
    x = 223,748.10

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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.