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Finding the Fourth Proportional to 186,777.66, 257,751.93 and 106,205.16

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Solution

The fourth proportional to 186,777.66, 257,751.93 and 106,205.16 is: 146,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,777.66 : 257,751.93 = 106,205.16 : x
  2. Step 2: Convert to fraction form
    186,777.66/257,751.93 = 106,205.16/x
  3. Step 3: Cross multiply
    186,777.66x = 257,751.93 × 106,205.16
  4. Step 4: Simplify right side
    186,777.66x = 27,374,584,965.96
  5. Step 5: Solve for x
    x = 27,374,584,965.96/186,777.66
  6. Step 6: Final answer
    x = 146,562.42

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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.