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Finding the Fourth Proportional to 188,429.76, 282,644.64 and 95,014.08

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Solution

The fourth proportional to 188,429.76, 282,644.64 and 95,014.08 is: 142,521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,429.76 : 282,644.64 = 95,014.08 : x
  2. Step 2: Convert to fraction form
    188,429.76/282,644.64 = 95,014.08/x
  3. Step 3: Cross multiply
    188,429.76x = 282,644.64 × 95,014.08
  4. Step 4: Simplify right side
    188,429.76x = 26,855,220,436.53
  5. Step 5: Solve for x
    x = 26,855,220,436.53/188,429.76
  6. Step 6: Final answer
    x = 142,521.12

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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.