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Finding the Fourth Proportional to 186,105.16, 256,825.80 and 101,222.32

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Solution

The fourth proportional to 186,105.16, 256,825.80 and 101,222.32 is: 139,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,105.16 : 256,825.80 = 101,222.32 : x
  2. Step 2: Convert to fraction form
    186,105.16/256,825.80 = 101,222.32/x
  3. Step 3: Cross multiply
    186,105.16x = 256,825.80 × 101,222.32
  4. Step 4: Simplify right side
    186,105.16x = 25,996,503,311.86
  5. Step 5: Solve for x
    x = 25,996,503,311.86/186,105.16
  6. Step 6: Final answer
    x = 139,687.17

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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.