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Finding the Fourth Proportional to 186,907.80, 257,923.75 and 106,327.74

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Solution

The fourth proportional to 186,907.80, 257,923.75 and 106,327.74 is: 146,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,907.80 : 257,923.75 = 106,327.74 : x
  2. Step 2: Convert to fraction form
    186,907.80/257,923.75 = 106,327.74/x
  3. Step 3: Cross multiply
    186,907.80x = 257,923.75 × 106,327.74
  4. Step 4: Simplify right side
    186,907.80x = 27,424,449,429.83
  5. Step 5: Solve for x
    x = 27,424,449,429.83/186,907.80
  6. Step 6: Final answer
    x = 146,727.15

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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.