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Finding the Fourth Proportional to 354,146.02, 531,322.78 and 114,255.06

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Solution

The fourth proportional to 354,146.02, 531,322.78 and 114,255.06 is: 171,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,146.02 : 531,322.78 = 114,255.06 : x
  2. Step 2: Convert to fraction form
    354,146.02/531,322.78 = 114,255.06/x
  3. Step 3: Cross multiply
    354,146.02x = 531,322.78 × 114,255.06
  4. Step 4: Simplify right side
    354,146.02x = 60,706,316,108.27
  5. Step 5: Solve for x
    x = 60,706,316,108.27/354,146.02
  6. Step 6: Final answer
    x = 171,416.06

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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.