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Finding the Fourth Proportional to 144,009.64, 216,014.57 and 49,240.53

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Solution

The fourth proportional to 144,009.64, 216,014.57 and 49,240.53 is: 73,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,009.64 : 216,014.57 = 49,240.53 : x
  2. Step 2: Convert to fraction form
    144,009.64/216,014.57 = 49,240.53/x
  3. Step 3: Cross multiply
    144,009.64x = 216,014.57 × 49,240.53
  4. Step 4: Simplify right side
    144,009.64x = 10,636,672,743.06
  5. Step 5: Solve for x
    x = 10,636,672,743.06/144,009.64
  6. Step 6: Final answer
    x = 73,860.84

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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.