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Finding the Fourth Proportional to 546,162, 819,381.24 and 152,178

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Solution

The fourth proportional to 546,162, 819,381.24 and 152,178 is: 228,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,162 : 819,381.24 = 152,178 : x
  2. Step 2: Convert to fraction form
    546,162/819,381.24 = 152,178/x
  3. Step 3: Cross multiply
    546,162x = 819,381.24 × 152,178
  4. Step 4: Simplify right side
    546,162x = 124,691,798,340.72
  5. Step 5: Solve for x
    x = 124,691,798,340.72/546,162
  6. Step 6: Final answer
    x = 228,305.52

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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.