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Finding the Fourth Proportional to 144,466.97, 216,646.56 and 49,670.30

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Solution

The fourth proportional to 144,466.97, 216,646.56 and 49,670.30 is: 74,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,466.97 : 216,646.56 = 49,670.30 : x
  2. Step 2: Convert to fraction form
    144,466.97/216,646.56 = 49,670.30/x
  3. Step 3: Cross multiply
    144,466.97x = 216,646.56 × 49,670.30
  4. Step 4: Simplify right side
    144,466.97x = 10,760,900,170.78
  5. Step 5: Solve for x
    x = 10,760,900,170.78/144,466.97
  6. Step 6: Final answer
    x = 74,486.93

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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.