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Finding the Fourth Proportional to 354,642.08, 531,957.94 and 164,996.37

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Solution

The fourth proportional to 354,642.08, 531,957.94 and 164,996.37 is: 247,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,642.08 : 531,957.94 = 164,996.37 : x
  2. Step 2: Convert to fraction form
    354,642.08/531,957.94 = 164,996.37/x
  3. Step 3: Cross multiply
    354,642.08x = 531,957.94 × 164,996.37
  4. Step 4: Simplify right side
    354,642.08x = 87,771,128,680.19
  5. Step 5: Solve for x
    x = 87,771,128,680.19/354,642.08
  6. Step 6: Final answer
    x = 247,492.15

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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.