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Finding the Fourth Proportional to 256,083.92, 384,079.44 and 69,051.68

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Solution

The fourth proportional to 256,083.92, 384,079.44 and 69,051.68 is: 103,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,083.92 : 384,079.44 = 69,051.68 : x
  2. Step 2: Convert to fraction form
    256,083.92/384,079.44 = 69,051.68/x
  3. Step 3: Cross multiply
    256,083.92x = 384,079.44 × 69,051.68
  4. Step 4: Simplify right side
    256,083.92x = 26,521,330,585.46
  5. Step 5: Solve for x
    x = 26,521,330,585.46/256,083.92
  6. Step 6: Final answer
    x = 103,565.00

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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.