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Finding the Fourth Proportional to 229,148.72, 316,263.24 and 133,655.41

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Solution

The fourth proportional to 229,148.72, 316,263.24 and 133,655.41 is: 184,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,148.72 : 316,263.24 = 133,655.41 : x
  2. Step 2: Convert to fraction form
    229,148.72/316,263.24 = 133,655.41/x
  3. Step 3: Cross multiply
    229,148.72x = 316,263.24 × 133,655.41
  4. Step 4: Simplify right side
    229,148.72x = 42,270,292,508.92
  5. Step 5: Solve for x
    x = 42,270,292,508.92/229,148.72
  6. Step 6: Final answer
    x = 184,466.63

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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.