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Finding the Fourth Proportional to 162,002.65, 242,566.57 and 162,002.65

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Solution

The fourth proportional to 162,002.65, 242,566.57 and 162,002.65 is: 242,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002.65 : 242,566.57 = 162,002.65 : x
  2. Step 2: Convert to fraction form
    162,002.65/242,566.57 = 162,002.65/x
  3. Step 3: Cross multiply
    162,002.65x = 242,566.57 × 162,002.65
  4. Step 4: Simplify right side
    162,002.65x = 39,296,427,141.41
  5. Step 5: Solve for x
    x = 39,296,427,141.41/162,002.65
  6. Step 6: Final answer
    x = 242,566.57

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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.