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Finding the Fourth Proportional to 186,287.64, 257,181.66 and 142,597.86

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Solution

The fourth proportional to 186,287.64, 257,181.66 and 142,597.86 is: 196,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,287.64 : 257,181.66 = 142,597.86 : x
  2. Step 2: Convert to fraction form
    186,287.64/257,181.66 = 142,597.86/x
  3. Step 3: Cross multiply
    186,287.64x = 257,181.66 × 142,597.86
  4. Step 4: Simplify right side
    186,287.64x = 36,673,554,347.25
  5. Step 5: Solve for x
    x = 36,673,554,347.25/186,287.64
  6. Step 6: Final answer
    x = 196,865.20

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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.