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Finding the Fourth Proportional to 334,138.90, 501,323.10 and 97,516.30

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Solution

The fourth proportional to 334,138.90, 501,323.10 and 97,516.30 is: 146,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,138.90 : 501,323.10 = 97,516.30 : x
  2. Step 2: Convert to fraction form
    334,138.90/501,323.10 = 97,516.30/x
  3. Step 3: Cross multiply
    334,138.90x = 501,323.10 × 97,516.30
  4. Step 4: Simplify right side
    334,138.90x = 48,887,173,816.53
  5. Step 5: Solve for x
    x = 48,887,173,816.53/334,138.90
  6. Step 6: Final answer
    x = 146,307.94

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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.