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Finding the Fourth Proportional to 186,396.75, 257,234.79 and 105,831.77

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Solution

The fourth proportional to 186,396.75, 257,234.79 and 105,831.77 is: 146,051.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,396.75 : 257,234.79 = 105,831.77 : x
  2. Step 2: Convert to fraction form
    186,396.75/257,234.79 = 105,831.77/x
  3. Step 3: Cross multiply
    186,396.75x = 257,234.79 × 105,831.77
  4. Step 4: Simplify right side
    186,396.75x = 27,223,613,774.37
  5. Step 5: Solve for x
    x = 27,223,613,774.37/186,396.75
  6. Step 6: Final answer
    x = 146,051.98

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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.