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Finding the Fourth Proportional to 186,820.80, 257,818.39 and 106,259.91

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Solution

The fourth proportional to 186,820.80, 257,818.39 and 106,259.91 is: 146,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,820.80 : 257,818.39 = 106,259.91 : x
  2. Step 2: Convert to fraction form
    186,820.80/257,818.39 = 106,259.91/x
  3. Step 3: Cross multiply
    186,820.80x = 257,818.39 × 106,259.91
  4. Step 4: Simplify right side
    186,820.80x = 27,395,758,917.74
  5. Step 5: Solve for x
    x = 27,395,758,917.74/186,820.80
  6. Step 6: Final answer
    x = 146,641.91

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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.