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Finding the Fourth Proportional to 229,114.81, 316,177.77 and 127,155.66

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Solution

The fourth proportional to 229,114.81, 316,177.77 and 127,155.66 is: 175,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,114.81 : 316,177.77 = 127,155.66 : x
  2. Step 2: Convert to fraction form
    229,114.81/316,177.77 = 127,155.66/x
  3. Step 3: Cross multiply
    229,114.81x = 316,177.77 × 127,155.66
  4. Step 4: Simplify right side
    229,114.81x = 40,203,793,021.68
  5. Step 5: Solve for x
    x = 40,203,793,021.68/229,114.81
  6. Step 6: Final answer
    x = 175,474.44

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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.