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Finding the Fourth Proportional to 104,098, 156,151.32 and 30,226

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Solution

The fourth proportional to 104,098, 156,151.32 and 30,226 is: 45,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,098 : 156,151.32 = 30,226 : x
  2. Step 2: Convert to fraction form
    104,098/156,151.32 = 30,226/x
  3. Step 3: Cross multiply
    104,098x = 156,151.32 × 30,226
  4. Step 4: Simplify right side
    104,098x = 4,719,829,798.32
  5. Step 5: Solve for x
    x = 4,719,829,798.32/104,098
  6. Step 6: Final answer
    x = 45,340.25

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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.