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Finding the Fourth Proportional to 186,643.76, 257,522.20 and 114,027.96

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Solution

The fourth proportional to 186,643.76, 257,522.20 and 114,027.96 is: 157,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,643.76 : 257,522.20 = 114,027.96 : x
  2. Step 2: Convert to fraction form
    186,643.76/257,522.20 = 114,027.96/x
  3. Step 3: Cross multiply
    186,643.76x = 257,522.20 × 114,027.96
  4. Step 4: Simplify right side
    186,643.76x = 29,364,731,120.71
  5. Step 5: Solve for x
    x = 29,364,731,120.71/186,643.76
  6. Step 6: Final answer
    x = 157,330.37

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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.