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Finding the Fourth Proportional to 304,117.02, 419,663.49 and 168,140.28

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Solution

The fourth proportional to 304,117.02, 419,663.49 and 168,140.28 is: 232,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,117.02 : 419,663.49 = 168,140.28 : x
  2. Step 2: Convert to fraction form
    304,117.02/419,663.49 = 168,140.28/x
  3. Step 3: Cross multiply
    304,117.02x = 419,663.49 × 168,140.28
  4. Step 4: Simplify right side
    304,117.02x = 70,562,336,714.38
  5. Step 5: Solve for x
    x = 70,562,336,714.38/304,117.02
  6. Step 6: Final answer
    x = 232,023.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.