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Finding the Fourth Proportional to 315,352.86, 472,618.57 and 128,145.50

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Solution

The fourth proportional to 315,352.86, 472,618.57 and 128,145.50 is: 192,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,352.86 : 472,618.57 = 128,145.50 : x
  2. Step 2: Convert to fraction form
    315,352.86/472,618.57 = 128,145.50/x
  3. Step 3: Cross multiply
    315,352.86x = 472,618.57 × 128,145.50
  4. Step 4: Simplify right side
    315,352.86x = 60,563,942,961.94
  5. Step 5: Solve for x
    x = 60,563,942,961.94/315,352.86
  6. Step 6: Final answer
    x = 192,051.35

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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.