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Finding the Fourth Proportional to 200,411.77, 276,572.70 and 114,369.03

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Solution

The fourth proportional to 200,411.77, 276,572.70 and 114,369.03 is: 157,831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,411.77 : 276,572.70 = 114,369.03 : x
  2. Step 2: Convert to fraction form
    200,411.77/276,572.70 = 114,369.03/x
  3. Step 3: Cross multiply
    200,411.77x = 276,572.70 × 114,369.03
  4. Step 4: Simplify right side
    200,411.77x = 31,631,351,423.48
  5. Step 5: Solve for x
    x = 31,631,351,423.48/200,411.77
  6. Step 6: Final answer
    x = 157,831.81

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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.