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Finding the Fourth Proportional to 546,956.10, 820,427.54 and 142,112.48

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Solution

The fourth proportional to 546,956.10, 820,427.54 and 142,112.48 is: 213,167.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,956.10 : 820,427.54 = 142,112.48 : x
  2. Step 2: Convert to fraction form
    546,956.10/820,427.54 = 142,112.48/x
  3. Step 3: Cross multiply
    546,956.10x = 820,427.54 × 142,112.48
  4. Step 4: Simplify right side
    546,956.10x = 116,592,988,267.56
  5. Step 5: Solve for x
    x = 116,592,988,267.56/546,956.10
  6. Step 6: Final answer
    x = 213,167.00

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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.