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Finding the Fourth Proportional to 178,091.46, 266,713.16 and 103,053.47

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Solution

The fourth proportional to 178,091.46, 266,713.16 and 103,053.47 is: 154,334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,091.46 : 266,713.16 = 103,053.47 : x
  2. Step 2: Convert to fraction form
    178,091.46/266,713.16 = 103,053.47/x
  3. Step 3: Cross multiply
    178,091.46x = 266,713.16 × 103,053.47
  4. Step 4: Simplify right side
    178,091.46x = 27,485,714,783.83
  5. Step 5: Solve for x
    x = 27,485,714,783.83/178,091.46
  6. Step 6: Final answer
    x = 154,334.83

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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.