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Finding the Fourth Proportional to 177,349.65, 266,024.79 and 142,035.60

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Solution

The fourth proportional to 177,349.65, 266,024.79 and 142,035.60 is: 213,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,349.65 : 266,024.79 = 142,035.60 : x
  2. Step 2: Convert to fraction form
    177,349.65/266,024.79 = 142,035.60/x
  3. Step 3: Cross multiply
    177,349.65x = 266,024.79 × 142,035.60
  4. Step 4: Simplify right side
    177,349.65x = 37,784,990,662.52
  5. Step 5: Solve for x
    x = 37,784,990,662.52/177,349.65
  6. Step 6: Final answer
    x = 213,053.65

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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.