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Finding the Fourth Proportional to 229,722.62, 316,970.75 and 134,210.86

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Solution

The fourth proportional to 229,722.62, 316,970.75 and 134,210.86 is: 185,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,722.62 : 316,970.75 = 134,210.86 : x
  2. Step 2: Convert to fraction form
    229,722.62/316,970.75 = 134,210.86/x
  3. Step 3: Cross multiply
    229,722.62x = 316,970.75 × 134,210.86
  4. Step 4: Simplify right side
    229,722.62x = 42,540,916,495.45
  5. Step 5: Solve for x
    x = 42,540,916,495.45/229,722.62
  6. Step 6: Final answer
    x = 185,183.84

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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.