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Finding the Fourth Proportional to 301,632.66, 452,137.95 and 135,537.30

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Solution

The fourth proportional to 301,632.66, 452,137.95 and 135,537.30 is: 203,166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,632.66 : 452,137.95 = 135,537.30 : x
  2. Step 2: Convert to fraction form
    301,632.66/452,137.95 = 135,537.30/x
  3. Step 3: Cross multiply
    301,632.66x = 452,137.95 × 135,537.30
  4. Step 4: Simplify right side
    301,632.66x = 61,281,556,970.54
  5. Step 5: Solve for x
    x = 61,281,556,970.54/301,632.66
  6. Step 6: Final answer
    x = 203,166.19

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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.