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Finding the Fourth Proportional to 186,571.67, 257,469 and 105,999.34

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Solution

The fourth proportional to 186,571.67, 257,469 and 105,999.34 is: 146,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,571.67 : 257,469 = 105,999.34 : x
  2. Step 2: Convert to fraction form
    186,571.67/257,469 = 105,999.34/x
  3. Step 3: Cross multiply
    186,571.67x = 257,469 × 105,999.34
  4. Step 4: Simplify right side
    186,571.67x = 27,291,544,070.46
  5. Step 5: Solve for x
    x = 27,291,544,070.46/186,571.67
  6. Step 6: Final answer
    x = 146,279.14

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1.5x scale

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.