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Finding the Fourth Proportional to 186,590.75, 257,495.30 and 106,018.38

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Solution

The fourth proportional to 186,590.75, 257,495.30 and 106,018.38 is: 146,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,590.75 : 257,495.30 = 106,018.38 : x
  2. Step 2: Convert to fraction form
    186,590.75/257,495.30 = 106,018.38/x
  3. Step 3: Cross multiply
    186,590.75x = 257,495.30 × 106,018.38
  4. Step 4: Simplify right side
    186,590.75x = 27,299,234,563.61
  5. Step 5: Solve for x
    x = 27,299,234,563.61/186,590.75
  6. Step 6: Final answer
    x = 146,305.40

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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.