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Finding the Fourth Proportional to 135,564, 203,346 and 37,068

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Solution

The fourth proportional to 135,564, 203,346 and 37,068 is: 55,602

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,564 : 203,346 = 37,068 : x
  2. Step 2: Convert to fraction form
    135,564/203,346 = 37,068/x
  3. Step 3: Cross multiply
    135,564x = 203,346 × 37,068
  4. Step 4: Simplify right side
    135,564x = 7,537,629,528
  5. Step 5: Solve for x
    x = 7,537,629,528/135,564
  6. Step 6: Final answer
    x = 55,602

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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.