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Finding the Fourth Proportional to 186,765.91, 257,749.13 and 106,200.93

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Solution

The fourth proportional to 186,765.91, 257,749.13 and 106,200.93 is: 146,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,765.91 : 257,749.13 = 106,200.93 : x
  2. Step 2: Convert to fraction form
    186,765.91/257,749.13 = 106,200.93/x
  3. Step 3: Cross multiply
    186,765.91x = 257,749.13 × 106,200.93
  4. Step 4: Simplify right side
    186,765.91x = 27,373,197,312.69
  5. Step 5: Solve for x
    x = 27,373,197,312.69/186,765.91
  6. Step 6: Final answer
    x = 146,564.21

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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.