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Finding the Fourth Proportional to 334,089.83, 501,208.47 and 97,451.03

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Solution

The fourth proportional to 334,089.83, 501,208.47 and 97,451.03 is: 146,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,089.83 : 501,208.47 = 97,451.03 : x
  2. Step 2: Convert to fraction form
    334,089.83/501,208.47 = 97,451.03/x
  3. Step 3: Cross multiply
    334,089.83x = 501,208.47 × 97,451.03
  4. Step 4: Simplify right side
    334,089.83x = 48,843,281,158.97
  5. Step 5: Solve for x
    x = 48,843,281,158.97/334,089.83
  6. Step 6: Final answer
    x = 146,198.05

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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.