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Finding the Fourth Proportional to 186,820.39, 257,817.82 and 106,259.51

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Solution

The fourth proportional to 186,820.39, 257,817.82 and 106,259.51 is: 146,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,820.39 : 257,817.82 = 106,259.51 : x
  2. Step 2: Convert to fraction form
    186,820.39/257,817.82 = 106,259.51/x
  3. Step 3: Cross multiply
    186,820.39x = 257,817.82 × 106,259.51
  4. Step 4: Simplify right side
    186,820.39x = 27,395,593,933.38
  5. Step 5: Solve for x
    x = 27,395,593,933.38/186,820.39
  6. Step 6: Final answer
    x = 146,641.35

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1.5x scale

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.