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Finding the Fourth Proportional to 201,682.60, 302,523.90 and 134,031.40

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Solution

The fourth proportional to 201,682.60, 302,523.90 and 134,031.40 is: 201,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,682.60 : 302,523.90 = 134,031.40 : x
  2. Step 2: Convert to fraction form
    201,682.60/302,523.90 = 134,031.40/x
  3. Step 3: Cross multiply
    201,682.60x = 302,523.90 × 134,031.40
  4. Step 4: Simplify right side
    201,682.60x = 40,547,701,850.46
  5. Step 5: Solve for x
    x = 40,547,701,850.46/201,682.60
  6. Step 6: Final answer
    x = 201,047.10

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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.