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Finding the Fourth Proportional to 402,022.04, 603,120.54 and 121,532

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Solution

The fourth proportional to 402,022.04, 603,120.54 and 121,532 is: 182,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,022.04 : 603,120.54 = 121,532 : x
  2. Step 2: Convert to fraction form
    402,022.04/603,120.54 = 121,532/x
  3. Step 3: Cross multiply
    402,022.04x = 603,120.54 × 121,532
  4. Step 4: Simplify right side
    402,022.04x = 73,298,445,467.28
  5. Step 5: Solve for x
    x = 73,298,445,467.28/402,022.04
  6. Step 6: Final answer
    x = 182,324.45

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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.