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Finding the Fourth Proportional to 186,223.42, 256,993.68 and 101,345.86

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Solution

The fourth proportional to 186,223.42, 256,993.68 and 101,345.86 is: 139,860.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,223.42 : 256,993.68 = 101,345.86 : x
  2. Step 2: Convert to fraction form
    186,223.42/256,993.68 = 101,345.86/x
  3. Step 3: Cross multiply
    186,223.42x = 256,993.68 × 101,345.86
  4. Step 4: Simplify right side
    186,223.42x = 26,045,245,514.16
  5. Step 5: Solve for x
    x = 26,045,245,514.16/186,223.42
  6. Step 6: Final answer
    x = 139,860.20

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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.