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Finding the Fourth Proportional to 178,001.65, 266,968.45 and 53,342.65

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Solution

The fourth proportional to 178,001.65, 266,968.45 and 53,342.65 is: 80,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,001.65 : 266,968.45 = 53,342.65 : x
  2. Step 2: Convert to fraction form
    178,001.65/266,968.45 = 53,342.65/x
  3. Step 3: Cross multiply
    178,001.65x = 266,968.45 × 53,342.65
  4. Step 4: Simplify right side
    178,001.65x = 14,240,803,988.65
  5. Step 5: Solve for x
    x = 14,240,803,988.65/178,001.65
  6. Step 6: Final answer
    x = 80,003.78

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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.