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Finding the Fourth Proportional to 186,735.91, 257,699.06 and 101,856.01

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Solution

The fourth proportional to 186,735.91, 257,699.06 and 101,856.01 is: 140,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,735.91 : 257,699.06 = 101,856.01 : x
  2. Step 2: Convert to fraction form
    186,735.91/257,699.06 = 101,856.01/x
  3. Step 3: Cross multiply
    186,735.91x = 257,699.06 × 101,856.01
  4. Step 4: Simplify right side
    186,735.91x = 26,248,198,032.35
  5. Step 5: Solve for x
    x = 26,248,198,032.35/186,735.91
  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.