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Finding the Fourth Proportional to 304,122.78, 419,681.98 and 168,153.14

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Solution

The fourth proportional to 304,122.78, 419,681.98 and 168,153.14 is: 232,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,122.78 : 419,681.98 = 168,153.14 : x
  2. Step 2: Convert to fraction form
    304,122.78/419,681.98 = 168,153.14/x
  3. Step 3: Cross multiply
    304,122.78x = 419,681.98 × 168,153.14
  4. Step 4: Simplify right side
    304,122.78x = 70,570,842,738.42
  5. Step 5: Solve for x
    x = 70,570,842,738.42/304,122.78
  6. Step 6: Final answer
    x = 232,047.21

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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.