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Finding the Fourth Proportional to 546,101.10, 819,005.85 and 191,078.10

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Solution

The fourth proportional to 546,101.10, 819,005.85 and 191,078.10 is: 286,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,101.10 : 819,005.85 = 191,078.10 : x
  2. Step 2: Convert to fraction form
    546,101.10/819,005.85 = 191,078.10/x
  3. Step 3: Cross multiply
    546,101.10x = 819,005.85 × 191,078.10
  4. Step 4: Simplify right side
    546,101.10x = 156,494,081,706.89
  5. Step 5: Solve for x
    x = 156,494,081,706.89/546,101.10
  6. Step 6: Final answer
    x = 286,566.14

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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.