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Finding the Fourth Proportional to 300,090.59, 414,119.19 and 164,124.11

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Solution

The fourth proportional to 300,090.59, 414,119.19 and 164,124.11 is: 226,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,090.59 : 414,119.19 = 164,124.11 : x
  2. Step 2: Convert to fraction form
    300,090.59/414,119.19 = 164,124.11/x
  3. Step 3: Cross multiply
    300,090.59x = 414,119.19 × 164,124.11
  4. Step 4: Simplify right side
    300,090.59x = 67,966,941,422.08
  5. Step 5: Solve for x
    x = 67,966,941,422.08/300,090.59
  6. Step 6: Final answer
    x = 226,488.08

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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.