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Finding the Fourth Proportional to 140,483.16, 210,745.68 and 51,729.84

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Solution

The fourth proportional to 140,483.16, 210,745.68 and 51,729.84 is: 77,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,483.16 : 210,745.68 = 51,729.84 : x
  2. Step 2: Convert to fraction form
    140,483.16/210,745.68 = 51,729.84/x
  3. Step 3: Cross multiply
    140,483.16x = 210,745.68 × 51,729.84
  4. Step 4: Simplify right side
    140,483.16x = 10,901,840,307.09
  5. Step 5: Solve for x
    x = 10,901,840,307.09/140,483.16
  6. Step 6: Final answer
    x = 77,602.47

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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.