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Finding the Fourth Proportional to 229,149.72, 316,264.62 and 133,656.41

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Solution

The fourth proportional to 229,149.72, 316,264.62 and 133,656.41 is: 184,468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,149.72 : 316,264.62 = 133,656.41 : x
  2. Step 2: Convert to fraction form
    229,149.72/316,264.62 = 133,656.41/x
  3. Step 3: Cross multiply
    229,149.72x = 316,264.62 × 133,656.41
  4. Step 4: Simplify right side
    229,149.72x = 42,270,793,719.21
  5. Step 5: Solve for x
    x = 42,270,793,719.21/229,149.72
  6. Step 6: Final answer
    x = 184,468.01

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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.