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Finding the Fourth Proportional to 177,064.06, 242,973.76 and 161,026.06

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Solution

The fourth proportional to 177,064.06, 242,973.76 and 161,026.06 is: 220,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,064.06 : 242,973.76 = 161,026.06 : x
  2. Step 2: Convert to fraction form
    177,064.06/242,973.76 = 161,026.06/x
  3. Step 3: Cross multiply
    177,064.06x = 242,973.76 × 161,026.06
  4. Step 4: Simplify right side
    177,064.06x = 39,125,107,256.19
  5. Step 5: Solve for x
    x = 39,125,107,256.19/177,064.06
  6. Step 6: Final answer
    x = 220,965.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.