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Finding the Fourth Proportional to 546,134, 819,339.28 and 152,150

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Solution

The fourth proportional to 546,134, 819,339.28 and 152,150 is: 228,263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,134 : 819,339.28 = 152,150 : x
  2. Step 2: Convert to fraction form
    546,134/819,339.28 = 152,150/x
  3. Step 3: Cross multiply
    546,134x = 819,339.28 × 152,150
  4. Step 4: Simplify right side
    546,134x = 124,662,471,452
  5. Step 5: Solve for x
    x = 124,662,471,452/546,134
  6. Step 6: Final answer
    x = 228,263.52

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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.