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Finding the Fourth Proportional to 337,152.13, 505,762.02 and 97,271.97

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Solution

The fourth proportional to 337,152.13, 505,762.02 and 97,271.97 is: 145,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,152.13 : 505,762.02 = 97,271.97 : x
  2. Step 2: Convert to fraction form
    337,152.13/505,762.02 = 97,271.97/x
  3. Step 3: Cross multiply
    337,152.13x = 505,762.02 × 97,271.97
  4. Step 4: Simplify right side
    337,152.13x = 49,196,466,784.30
  5. Step 5: Solve for x
    x = 49,196,466,784.30/337,152.13
  6. Step 6: Final answer
    x = 145,917.71

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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.