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Finding the Fourth Proportional to 546,038.56, 819,054.60 and 141,230.80

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Solution

The fourth proportional to 546,038.56, 819,054.60 and 141,230.80 is: 211,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,038.56 : 819,054.60 = 141,230.80 : x
  2. Step 2: Convert to fraction form
    546,038.56/819,054.60 = 141,230.80/x
  3. Step 3: Cross multiply
    546,038.56x = 819,054.60 × 141,230.80
  4. Step 4: Simplify right side
    546,038.56x = 115,675,736,401.68
  5. Step 5: Solve for x
    x = 115,675,736,401.68/546,038.56
  6. Step 6: Final answer
    x = 211,845.36

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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.