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Finding the Fourth Proportional to 402,023.04, 603,122.04 and 121,533

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Solution

The fourth proportional to 402,023.04, 603,122.04 and 121,533 is: 182,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,023.04 : 603,122.04 = 121,533 : x
  2. Step 2: Convert to fraction form
    402,023.04/603,122.04 = 121,533/x
  3. Step 3: Cross multiply
    402,023.04x = 603,122.04 × 121,533
  4. Step 4: Simplify right side
    402,023.04x = 73,299,230,887.32
  5. Step 5: Solve for x
    x = 73,299,230,887.32/402,023.04
  6. Step 6: Final answer
    x = 182,325.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.