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Finding the Fourth Proportional to 229,152.54, 343,748.81 and 94,224.82

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Solution

The fourth proportional to 229,152.54, 343,748.81 and 94,224.82 is: 141,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,152.54 : 343,748.81 = 94,224.82 : x
  2. Step 2: Convert to fraction form
    229,152.54/343,748.81 = 94,224.82/x
  3. Step 3: Cross multiply
    229,152.54x = 343,748.81 × 94,224.82
  4. Step 4: Simplify right side
    229,152.54x = 32,389,669,768.18
  5. Step 5: Solve for x
    x = 32,389,669,768.18/229,152.54
  6. Step 6: Final answer
    x = 141,345.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.