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Finding the Fourth Proportional to 346,103, 477,622.14 and 187,127

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Solution

The fourth proportional to 346,103, 477,622.14 and 187,127 is: 258,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,103 : 477,622.14 = 187,127 : x
  2. Step 2: Convert to fraction form
    346,103/477,622.14 = 187,127/x
  3. Step 3: Cross multiply
    346,103x = 477,622.14 × 187,127
  4. Step 4: Simplify right side
    346,103x = 89,375,998,191.78
  5. Step 5: Solve for x
    x = 89,375,998,191.78/346,103
  6. Step 6: Final answer
    x = 258,235.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.