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Finding the Fourth Proportional to 334,120.30, 501,262.53 and 97,465.30

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Solution

The fourth proportional to 334,120.30, 501,262.53 and 97,465.30 is: 146,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,120.30 : 501,262.53 = 97,465.30 : x
  2. Step 2: Convert to fraction form
    334,120.30/501,262.53 = 97,465.30/x
  3. Step 3: Cross multiply
    334,120.30x = 501,262.53 × 97,465.30
  4. Step 4: Simplify right side
    334,120.30x = 48,855,702,865.21
  5. Step 5: Solve for x
    x = 48,855,702,865.21/334,120.30
  6. Step 6: Final answer
    x = 146,221.89

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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.