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Finding the Fourth Proportional to 346,195.27, 519,368.24 and 109,540

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Solution

The fourth proportional to 346,195.27, 519,368.24 and 109,540 is: 164,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,195.27 : 519,368.24 = 109,540 : x
  2. Step 2: Convert to fraction form
    346,195.27/519,368.24 = 109,540/x
  3. Step 3: Cross multiply
    346,195.27x = 519,368.24 × 109,540
  4. Step 4: Simplify right side
    346,195.27x = 56,891,597,009.60
  5. Step 5: Solve for x
    x = 56,891,597,009.60/346,195.27
  6. Step 6: Final answer
    x = 164,333.84

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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.