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Finding the Fourth Proportional to 255,802.24, 353,229.96 and 160,472.80

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Solution

The fourth proportional to 255,802.24, 353,229.96 and 160,472.80 is: 221,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,802.24 : 353,229.96 = 160,472.80 : x
  2. Step 2: Convert to fraction form
    255,802.24/353,229.96 = 160,472.80/x
  3. Step 3: Cross multiply
    255,802.24x = 353,229.96 × 160,472.80
  4. Step 4: Simplify right side
    255,802.24x = 56,683,800,725.09
  5. Step 5: Solve for x
    x = 56,683,800,725.09/255,802.24
  6. Step 6: Final answer
    x = 221,592.28

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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.