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Finding the Fourth Proportional to 284,156.57, 392,135.26 and 156,831.25

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Solution

The fourth proportional to 284,156.57, 392,135.26 and 156,831.25 is: 216,426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,156.57 : 392,135.26 = 156,831.25 : x
  2. Step 2: Convert to fraction form
    284,156.57/392,135.26 = 156,831.25/x
  3. Step 3: Cross multiply
    284,156.57x = 392,135.26 × 156,831.25
  4. Step 4: Simplify right side
    284,156.57x = 61,499,062,994.88
  5. Step 5: Solve for x
    x = 61,499,062,994.88/284,156.57
  6. Step 6: Final answer
    x = 216,426.68

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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.