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Finding the Fourth Proportional to 295,203.90, 407,347.74 and 166,117.44

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Solution

The fourth proportional to 295,203.90, 407,347.74 and 166,117.44 is: 229,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,203.90 : 407,347.74 = 166,117.44 : x
  2. Step 2: Convert to fraction form
    295,203.90/407,347.74 = 166,117.44/x
  3. Step 3: Cross multiply
    295,203.90x = 407,347.74 × 166,117.44
  4. Step 4: Simplify right side
    295,203.90x = 67,667,563,758.59
  5. Step 5: Solve for x
    x = 67,667,563,758.59/295,203.90
  6. Step 6: Final answer
    x = 229,223.14

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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.