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Finding the Fourth Proportional to 231,214.13, 346,821.20 and 65,002.13

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Solution

The fourth proportional to 231,214.13, 346,821.20 and 65,002.13 is: 97,503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,214.13 : 346,821.20 = 65,002.13 : x
  2. Step 2: Convert to fraction form
    231,214.13/346,821.20 = 65,002.13/x
  3. Step 3: Cross multiply
    231,214.13x = 346,821.20 × 65,002.13
  4. Step 4: Simplify right side
    231,214.13x = 22,544,114,670.04
  5. Step 5: Solve for x
    x = 22,544,114,670.04/231,214.13
  6. Step 6: Final answer
    x = 97,503.19

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1.5x scale

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.