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Finding the Fourth Proportional to 186,242.34, 257,019.48 and 114,663.09

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Solution

The fourth proportional to 186,242.34, 257,019.48 and 114,663.09 is: 158,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,242.34 : 257,019.48 = 114,663.09 : x
  2. Step 2: Convert to fraction form
    186,242.34/257,019.48 = 114,663.09/x
  3. Step 3: Cross multiply
    186,242.34x = 257,019.48 × 114,663.09
  4. Step 4: Simplify right side
    186,242.34x = 29,470,647,766.99
  5. Step 5: Solve for x
    x = 29,470,647,766.99/186,242.34
  6. Step 6: Final answer
    x = 158,238.17

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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.