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Finding the Fourth Proportional to 186,798, 257,781.24 and 119,730

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Solution

The fourth proportional to 186,798, 257,781.24 and 119,730 is: 165,227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,798 : 257,781.24 = 119,730 : x
  2. Step 2: Convert to fraction form
    186,798/257,781.24 = 119,730/x
  3. Step 3: Cross multiply
    186,798x = 257,781.24 × 119,730
  4. Step 4: Simplify right side
    186,798x = 30,864,147,865.20
  5. Step 5: Solve for x
    x = 30,864,147,865.20/186,798
  6. Step 6: Final answer
    x = 165,227.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.