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Finding the Fourth Proportional to 186,735.92, 257,699.06 and 101,856.02

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Solution

The fourth proportional to 186,735.92, 257,699.06 and 101,856.02 is: 140,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,735.92 : 257,699.06 = 101,856.02 : x
  2. Step 2: Convert to fraction form
    186,735.92/257,699.06 = 101,856.02/x
  3. Step 3: Cross multiply
    186,735.92x = 257,699.06 × 101,856.02
  4. Step 4: Simplify right side
    186,735.92x = 26,248,200,609.34
  5. Step 5: Solve for x
    x = 26,248,200,609.34/186,735.92
  6. Step 6: Final answer
    x = 140,563.21

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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.