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Finding the Fourth Proportional to 301,957.88, 416,711.20 and 166,002.22

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Solution

The fourth proportional to 301,957.88, 416,711.20 and 166,002.22 is: 229,088.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,957.88 : 416,711.20 = 166,002.22 : x
  2. Step 2: Convert to fraction form
    301,957.88/416,711.20 = 166,002.22/x
  3. Step 3: Cross multiply
    301,957.88x = 416,711.20 × 166,002.22
  4. Step 4: Simplify right side
    301,957.88x = 69,174,984,298.86
  5. Step 5: Solve for x
    x = 69,174,984,298.86/301,957.88
  6. Step 6: Final answer
    x = 229,088.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.