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Finding the Fourth Proportional to 304,114.86, 419,666.13 and 168,140.16

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Solution

The fourth proportional to 304,114.86, 419,666.13 and 168,140.16 is: 232,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,114.86 : 419,666.13 = 168,140.16 : x
  2. Step 2: Convert to fraction form
    304,114.86/419,666.13 = 168,140.16/x
  3. Step 3: Cross multiply
    304,114.86x = 419,666.13 × 168,140.16
  4. Step 4: Simplify right side
    304,114.86x = 70,562,730,244.78
  5. Step 5: Solve for x
    x = 70,562,730,244.78/304,114.86
  6. Step 6: Final answer
    x = 232,026.58

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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.