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Finding the Fourth Proportional to 270,483.95, 405,762.84 and 112,675.50

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Solution

The fourth proportional to 270,483.95, 405,762.84 and 112,675.50 is: 169,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,483.95 : 405,762.84 = 112,675.50 : x
  2. Step 2: Convert to fraction form
    270,483.95/405,762.84 = 112,675.50/x
  3. Step 3: Cross multiply
    270,483.95x = 405,762.84 × 112,675.50
  4. Step 4: Simplify right side
    270,483.95x = 45,719,530,878.42
  5. Step 5: Solve for x
    x = 45,719,530,878.42/270,483.95
  6. Step 6: Final answer
    x = 169,028.63

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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.