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Finding the Fourth Proportional to 186,513.90, 279,853.52 and 97,746.29

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Solution

The fourth proportional to 186,513.90, 279,853.52 and 97,746.29 is: 146,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,513.90 : 279,853.52 = 97,746.29 : x
  2. Step 2: Convert to fraction form
    186,513.90/279,853.52 = 97,746.29/x
  3. Step 3: Cross multiply
    186,513.90x = 279,853.52 × 97,746.29
  4. Step 4: Simplify right side
    186,513.90x = 27,354,641,435.44
  5. Step 5: Solve for x
    x = 27,354,641,435.44/186,513.90
  6. Step 6: Final answer
    x = 146,662.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.