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Finding the Fourth Proportional to 186,820.46, 257,817.92 and 106,259.58

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Solution

The fourth proportional to 186,820.46, 257,817.92 and 106,259.58 is: 146,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,820.46 : 257,817.92 = 106,259.58 : x
  2. Step 2: Convert to fraction form
    186,820.46/257,817.92 = 106,259.58/x
  3. Step 3: Cross multiply
    186,820.46x = 257,817.92 × 106,259.58
  4. Step 4: Simplify right side
    186,820.46x = 27,395,623,364.38
  5. Step 5: Solve for x
    x = 27,395,623,364.38/186,820.46
  6. Step 6: Final answer
    x = 146,641.46

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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.