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Finding the Fourth Proportional to 256,088.40, 384,132.60 and 69,099.60

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Solution

The fourth proportional to 256,088.40, 384,132.60 and 69,099.60 is: 103,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,088.40 : 384,132.60 = 69,099.60 : x
  2. Step 2: Convert to fraction form
    256,088.40/384,132.60 = 69,099.60/x
  3. Step 3: Cross multiply
    256,088.40x = 384,132.60 × 69,099.60
  4. Step 4: Simplify right side
    256,088.40x = 26,543,409,006.96
  5. Step 5: Solve for x
    x = 26,543,409,006.96/256,088.40
  6. Step 6: Final answer
    x = 103,649.40

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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.