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Finding the Fourth Proportional to 178,029.14, 266,957.57 and 65,762.21

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Solution

The fourth proportional to 178,029.14, 266,957.57 and 65,762.21 is: 98,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,029.14 : 266,957.57 = 65,762.21 : x
  2. Step 2: Convert to fraction form
    178,029.14/266,957.57 = 65,762.21/x
  3. Step 3: Cross multiply
    178,029.14x = 266,957.57 × 65,762.21
  4. Step 4: Simplify right side
    178,029.14x = 17,555,720,611.23
  5. Step 5: Solve for x
    x = 17,555,720,611.23/178,029.14
  6. Step 6: Final answer
    x = 98,611.50

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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.