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Finding the Fourth Proportional to 341,080.16, 511,401.51 and 141,538.28

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Solution

The fourth proportional to 341,080.16, 511,401.51 and 141,538.28 is: 212,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,080.16 : 511,401.51 = 141,538.28 : x
  2. Step 2: Convert to fraction form
    341,080.16/511,401.51 = 141,538.28/x
  3. Step 3: Cross multiply
    341,080.16x = 511,401.51 × 141,538.28
  4. Step 4: Simplify right side
    341,080.16x = 72,382,887,557.80
  5. Step 5: Solve for x
    x = 72,382,887,557.80/341,080.16
  6. Step 6: Final answer
    x = 212,216.65

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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.