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Finding the Fourth Proportional to 201,615.60, 302,459.85 and 101,523.90

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Solution

The fourth proportional to 201,615.60, 302,459.85 and 101,523.90 is: 152,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,615.60 : 302,459.85 = 101,523.90 : x
  2. Step 2: Convert to fraction form
    201,615.60/302,459.85 = 101,523.90/x
  3. Step 3: Cross multiply
    201,615.60x = 302,459.85 × 101,523.90
  4. Step 4: Simplify right side
    201,615.60x = 30,706,903,565.42
  5. Step 5: Solve for x
    x = 30,706,903,565.42/201,615.60
  6. Step 6: Final answer
    x = 152,304.20

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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.