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Finding the Fourth Proportional to 256,152.66, 384,247.50 and 98,381.16

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Solution

The fourth proportional to 256,152.66, 384,247.50 and 98,381.16 is: 147,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,152.66 : 384,247.50 = 98,381.16 : x
  2. Step 2: Convert to fraction form
    256,152.66/384,247.50 = 98,381.16/x
  3. Step 3: Cross multiply
    256,152.66x = 384,247.50 × 98,381.16
  4. Step 4: Simplify right side
    256,152.66x = 37,802,714,777.10
  5. Step 5: Solve for x
    x = 37,802,714,777.10/256,152.66
  6. Step 6: Final answer
    x = 147,578.85

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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.