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Finding the Fourth Proportional to 216,711.88, 299,062.40 and 141,260.38

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Solution

The fourth proportional to 216,711.88, 299,062.40 and 141,260.38 is: 194,939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,711.88 : 299,062.40 = 141,260.38 : x
  2. Step 2: Convert to fraction form
    216,711.88/299,062.40 = 141,260.38/x
  3. Step 3: Cross multiply
    216,711.88x = 299,062.40 × 141,260.38
  4. Step 4: Simplify right side
    216,711.88x = 42,245,666,066.10
  5. Step 5: Solve for x
    x = 42,245,666,066.10/216,711.88
  6. Step 6: Final answer
    x = 194,939.32

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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.