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Finding the Fourth Proportional to 229,144.46, 316,148.48 and 133,583.49

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Solution

The fourth proportional to 229,144.46, 316,148.48 and 133,583.49 is: 184,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,144.46 : 316,148.48 = 133,583.49 : x
  2. Step 2: Convert to fraction form
    229,144.46/316,148.48 = 133,583.49/x
  3. Step 3: Cross multiply
    229,144.46x = 316,148.48 × 133,583.49
  4. Step 4: Simplify right side
    229,144.46x = 42,232,216,648.68
  5. Step 5: Solve for x
    x = 42,232,216,648.68/229,144.46
  6. Step 6: Final answer
    x = 184,303.90

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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.