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Finding the Fourth Proportional to 231,423.99, 319,258.58 and 159,904.23

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Solution

The fourth proportional to 231,423.99, 319,258.58 and 159,904.23 is: 220,594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,423.99 : 319,258.58 = 159,904.23 : x
  2. Step 2: Convert to fraction form
    231,423.99/319,258.58 = 159,904.23/x
  3. Step 3: Cross multiply
    231,423.99x = 319,258.58 × 159,904.23
  4. Step 4: Simplify right side
    231,423.99x = 51,050,796,606.27
  5. Step 5: Solve for x
    x = 51,050,796,606.27/231,423.99
  6. Step 6: Final answer
    x = 220,594.23

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1.5x scale

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.