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Finding the Fourth Proportional to 256,607.69, 384,977.14 and 106,798.19

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Solution

The fourth proportional to 256,607.69, 384,977.14 and 106,798.19 is: 160,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,607.69 : 384,977.14 = 106,798.19 : x
  2. Step 2: Convert to fraction form
    256,607.69/384,977.14 = 106,798.19/x
  3. Step 3: Cross multiply
    256,607.69x = 384,977.14 × 106,798.19
  4. Step 4: Simplify right side
    256,607.69x = 41,114,859,551.50
  5. Step 5: Solve for x
    x = 41,114,859,551.50/256,607.69
  6. Step 6: Final answer
    x = 160,224.58

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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.