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Finding the Fourth Proportional to 151,672.68, 227,585.82 and 102,321

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Solution

The fourth proportional to 151,672.68, 227,585.82 and 102,321 is: 153,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,672.68 : 227,585.82 = 102,321 : x
  2. Step 2: Convert to fraction form
    151,672.68/227,585.82 = 102,321/x
  3. Step 3: Cross multiply
    151,672.68x = 227,585.82 × 102,321
  4. Step 4: Simplify right side
    151,672.68x = 23,286,808,688.22
  5. Step 5: Solve for x
    x = 23,286,808,688.22/151,672.68
  6. Step 6: Final answer
    x = 153,533.31

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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.