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Finding the Fourth Proportional to 212,322.96, 293,007.72 and 116,831.70

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Solution

The fourth proportional to 212,322.96, 293,007.72 and 116,831.70 is: 161,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,322.96 : 293,007.72 = 116,831.70 : x
  2. Step 2: Convert to fraction form
    212,322.96/293,007.72 = 116,831.70/x
  3. Step 3: Cross multiply
    212,322.96x = 293,007.72 × 116,831.70
  4. Step 4: Simplify right side
    212,322.96x = 34,232,590,040.72
  5. Step 5: Solve for x
    x = 34,232,590,040.72/212,322.96
  6. Step 6: Final answer
    x = 161,228.87

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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.