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Finding the Fourth Proportional to 175,307, 262,829.28 and 56,907.68

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Solution

The fourth proportional to 175,307, 262,829.28 and 56,907.68 is: 85,318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,307 : 262,829.28 = 56,907.68 : x
  2. Step 2: Convert to fraction form
    175,307/262,829.28 = 56,907.68/x
  3. Step 3: Cross multiply
    175,307x = 262,829.28 × 56,907.68
  4. Step 4: Simplify right side
    175,307x = 14,957,004,560.87
  5. Step 5: Solve for x
    x = 14,957,004,560.87/175,307
  6. Step 6: Final answer
    x = 85,318.92

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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.