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Finding the Fourth Proportional to 256,712.10, 384,740.10 and 123,305.10

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Solution

The fourth proportional to 256,712.10, 384,740.10 and 123,305.10 is: 184,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,712.10 : 384,740.10 = 123,305.10 : x
  2. Step 2: Convert to fraction form
    256,712.10/384,740.10 = 123,305.10/x
  3. Step 3: Cross multiply
    256,712.10x = 384,740.10 × 123,305.10
  4. Step 4: Simplify right side
    256,712.10x = 47,440,416,504.51
  5. Step 5: Solve for x
    x = 47,440,416,504.51/256,712.10
  6. Step 6: Final answer
    x = 184,800.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.