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Finding the Fourth Proportional to 229,641.86, 316,867.46 and 127,664.48

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Solution

The fourth proportional to 229,641.86, 316,867.46 and 127,664.48 is: 176,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,641.86 : 316,867.46 = 127,664.48 : x
  2. Step 2: Convert to fraction form
    229,641.86/316,867.46 = 127,664.48/x
  3. Step 3: Cross multiply
    229,641.86x = 316,867.46 × 127,664.48
  4. Step 4: Simplify right side
    229,641.86x = 40,452,719,509.82
  5. Step 5: Solve for x
    x = 40,452,719,509.82/229,641.86
  6. Step 6: Final answer
    x = 176,155.69

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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.