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Finding the Fourth Proportional to 518,014, 777,065.01 and 144,037

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Solution

The fourth proportional to 518,014, 777,065.01 and 144,037 is: 216,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,014 : 777,065.01 = 144,037 : x
  2. Step 2: Convert to fraction form
    518,014/777,065.01 = 144,037/x
  3. Step 3: Cross multiply
    518,014x = 777,065.01 × 144,037
  4. Step 4: Simplify right side
    518,014x = 111,926,112,845.37
  5. Step 5: Solve for x
    x = 111,926,112,845.37/518,014
  6. Step 6: Final answer
    x = 216,067.74

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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.