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Finding the Fourth Proportional to 186,397.86, 257,233.26 and 105,817.86

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Solution

The fourth proportional to 186,397.86, 257,233.26 and 105,817.86 is: 146,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,397.86 : 257,233.26 = 105,817.86 : x
  2. Step 2: Convert to fraction form
    186,397.86/257,233.26 = 105,817.86/x
  3. Step 3: Cross multiply
    186,397.86x = 257,233.26 × 105,817.86
  4. Step 4: Simplify right side
    186,397.86x = 27,219,873,094.02
  5. Step 5: Solve for x
    x = 27,219,873,094.02/186,397.86
  6. Step 6: Final answer
    x = 146,031.04

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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.