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Finding the Fourth Proportional to 256,730.10, 384,767.10 and 123,323.10

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Solution

The fourth proportional to 256,730.10, 384,767.10 and 123,323.10 is: 184,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,730.10 : 384,767.10 = 123,323.10 : x
  2. Step 2: Convert to fraction form
    256,730.10/384,767.10 = 123,323.10/x
  3. Step 3: Cross multiply
    256,730.10x = 384,767.10 × 123,323.10
  4. Step 4: Simplify right side
    256,730.10x = 47,450,671,550.01
  5. Step 5: Solve for x
    x = 47,450,671,550.01/256,730.10
  6. Step 6: Final answer
    x = 184,827.07

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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.