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Finding the Fourth Proportional to 177,772.06, 266,658.10 and 53,113.06

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Solution

The fourth proportional to 177,772.06, 266,658.10 and 53,113.06 is: 79,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,772.06 : 266,658.10 = 53,113.06 : x
  2. Step 2: Convert to fraction form
    177,772.06/266,658.10 = 53,113.06/x
  3. Step 3: Cross multiply
    177,772.06x = 266,658.10 × 53,113.06
  4. Step 4: Simplify right side
    177,772.06x = 14,163,027,664.79
  5. Step 5: Solve for x
    x = 14,163,027,664.79/177,772.06
  6. Step 6: Final answer
    x = 79,669.59

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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.