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Finding the Fourth Proportional to 315,163.83, 472,749.84 and 104,801.76

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Solution

The fourth proportional to 315,163.83, 472,749.84 and 104,801.76 is: 157,204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,163.83 : 472,749.84 = 104,801.76 : x
  2. Step 2: Convert to fraction form
    315,163.83/472,749.84 = 104,801.76/x
  3. Step 3: Cross multiply
    315,163.83x = 472,749.84 × 104,801.76
  4. Step 4: Simplify right side
    315,163.83x = 49,545,015,271.72
  5. Step 5: Solve for x
    x = 49,545,015,271.72/315,163.83
  6. Step 6: Final answer
    x = 157,204.00

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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.