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Finding the Fourth Proportional to 229,711.56, 344,548.71 and 145,225.32

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Solution

The fourth proportional to 229,711.56, 344,548.71 and 145,225.32 is: 217,826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,711.56 : 344,548.71 = 145,225.32 : x
  2. Step 2: Convert to fraction form
    229,711.56/344,548.71 = 145,225.32/x
  3. Step 3: Cross multiply
    229,711.56x = 344,548.71 × 145,225.32
  4. Step 4: Simplify right side
    229,711.56x = 50,037,196,665.34
  5. Step 5: Solve for x
    x = 50,037,196,665.34/229,711.56
  6. Step 6: Final answer
    x = 217,826.20

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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.