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Finding the Fourth Proportional to 292,023.80, 438,035.70 and 114,536.60

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Solution

The fourth proportional to 292,023.80, 438,035.70 and 114,536.60 is: 171,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,023.80 : 438,035.70 = 114,536.60 : x
  2. Step 2: Convert to fraction form
    292,023.80/438,035.70 = 114,536.60/x
  3. Step 3: Cross multiply
    292,023.80x = 438,035.70 × 114,536.60
  4. Step 4: Simplify right side
    292,023.80x = 50,171,119,756.62
  5. Step 5: Solve for x
    x = 50,171,119,756.62/292,023.80
  6. Step 6: Final answer
    x = 171,804.90

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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.