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Finding the Fourth Proportional to 201,508.60, 302,457.30 and 101,781.40

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Solution

The fourth proportional to 201,508.60, 302,457.30 and 101,781.40 is: 152,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,508.60 : 302,457.30 = 101,781.40 : x
  2. Step 2: Convert to fraction form
    201,508.60/302,457.30 = 101,781.40/x
  3. Step 3: Cross multiply
    201,508.60x = 302,457.30 × 101,781.40
  4. Step 4: Simplify right side
    201,508.60x = 30,784,527,434.22
  5. Step 5: Solve for x
    x = 30,784,527,434.22/201,508.60
  6. Step 6: Final answer
    x = 152,770.29

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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.