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Finding the Fourth Proportional to 210,342.84, 315,515.16 and 52,571.52

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Solution

The fourth proportional to 210,342.84, 315,515.16 and 52,571.52 is: 78,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,342.84 : 315,515.16 = 52,571.52 : x
  2. Step 2: Convert to fraction form
    210,342.84/315,515.16 = 52,571.52/x
  3. Step 3: Cross multiply
    210,342.84x = 315,515.16 × 52,571.52
  4. Step 4: Simplify right side
    210,342.84x = 16,587,111,544.24
  5. Step 5: Solve for x
    x = 16,587,111,544.24/210,342.84
  6. Step 6: Final answer
    x = 78,857.50

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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.