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Finding the Fourth Proportional to 272,099, 408,152.65 and 103,628.65

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Solution

The fourth proportional to 272,099, 408,152.65 and 103,628.65 is: 155,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,099 : 408,152.65 = 103,628.65 : x
  2. Step 2: Convert to fraction form
    272,099/408,152.65 = 103,628.65/x
  3. Step 3: Cross multiply
    272,099x = 408,152.65 × 103,628.65
  4. Step 4: Simplify right side
    272,099x = 42,296,308,113.42
  5. Step 5: Solve for x
    x = 42,296,308,113.42/272,099
  6. Step 6: Final answer
    x = 155,444.56

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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.