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Finding the Fourth Proportional to 295,144.52, 407,248.58 and 166,065.08

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Solution

The fourth proportional to 295,144.52, 407,248.58 and 166,065.08 is: 229,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,144.52 : 407,248.58 = 166,065.08 : x
  2. Step 2: Convert to fraction form
    295,144.52/407,248.58 = 166,065.08/x
  3. Step 3: Cross multiply
    295,144.52x = 407,248.58 × 166,065.08
  4. Step 4: Simplify right side
    295,144.52x = 67,629,768,017.59
  5. Step 5: Solve for x
    x = 67,629,768,017.59/295,144.52
  6. Step 6: Final answer
    x = 229,141.20

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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.