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Finding the Fourth Proportional to 229,400.91, 316,484.82 and 169,114.64

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Solution

The fourth proportional to 229,400.91, 316,484.82 and 169,114.64 is: 233,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,400.91 : 316,484.82 = 169,114.64 : x
  2. Step 2: Convert to fraction form
    229,400.91/316,484.82 = 169,114.64/x
  3. Step 3: Cross multiply
    229,400.91x = 316,484.82 × 169,114.64
  4. Step 4: Simplify right side
    229,400.91x = 53,522,214,817.34
  5. Step 5: Solve for x
    x = 53,522,214,817.34/229,400.91
  6. Step 6: Final answer
    x = 233,313.00

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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.