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Finding the Fourth Proportional to 175,652.40, 263,477.52 and 57,323.82

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Solution

The fourth proportional to 175,652.40, 263,477.52 and 57,323.82 is: 85,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,652.40 : 263,477.52 = 57,323.82 : x
  2. Step 2: Convert to fraction form
    175,652.40/263,477.52 = 57,323.82/x
  3. Step 3: Cross multiply
    175,652.40x = 263,477.52 × 57,323.82
  4. Step 4: Simplify right side
    175,652.40x = 15,103,537,930.53
  5. Step 5: Solve for x
    x = 15,103,537,930.53/175,652.40
  6. Step 6: Final answer
    x = 85,985.38

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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.