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Finding the Fourth Proportional to 341,098.80, 511,755.12 and 141,513.36

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Solution

The fourth proportional to 341,098.80, 511,755.12 and 141,513.36 is: 212,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,098.80 : 511,755.12 = 141,513.36 : x
  2. Step 2: Convert to fraction form
    341,098.80/511,755.12 = 141,513.36/x
  3. Step 3: Cross multiply
    341,098.80x = 511,755.12 × 141,513.36
  4. Step 4: Simplify right side
    341,098.80x = 72,420,186,528.40
  5. Step 5: Solve for x
    x = 72,420,186,528.40/341,098.80
  6. Step 6: Final answer
    x = 212,314.40

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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.