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Finding the Fourth Proportional to 334,090.83, 501,209.97 and 97,452.03

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Solution

The fourth proportional to 334,090.83, 501,209.97 and 97,452.03 is: 146,199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,090.83 : 501,209.97 = 97,452.03 : x
  2. Step 2: Convert to fraction form
    334,090.83/501,209.97 = 97,452.03/x
  3. Step 3: Cross multiply
    334,090.83x = 501,209.97 × 97,452.03
  4. Step 4: Simplify right side
    334,090.83x = 48,843,929,032.74
  5. Step 5: Solve for x
    x = 48,843,929,032.74/334,090.83
  6. Step 6: Final answer
    x = 146,199.55

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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.