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Finding the Fourth Proportional to 272,051.70, 408,077.55 and 105,731.70

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Solution

The fourth proportional to 272,051.70, 408,077.55 and 105,731.70 is: 158,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,051.70 : 408,077.55 = 105,731.70 : x
  2. Step 2: Convert to fraction form
    272,051.70/408,077.55 = 105,731.70/x
  3. Step 3: Cross multiply
    272,051.70x = 408,077.55 × 105,731.70
  4. Step 4: Simplify right side
    272,051.70x = 43,146,733,093.34
  5. Step 5: Solve for x
    x = 43,146,733,093.34/272,051.70
  6. Step 6: Final answer
    x = 158,597.55

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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.