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Finding the Fourth Proportional to 140,533.38, 210,883.05 and 51,848.82

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Solution

The fourth proportional to 140,533.38, 210,883.05 and 51,848.82 is: 77,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,533.38 : 210,883.05 = 51,848.82 : x
  2. Step 2: Convert to fraction form
    140,533.38/210,883.05 = 51,848.82/x
  3. Step 3: Cross multiply
    140,533.38x = 210,883.05 × 51,848.82
  4. Step 4: Simplify right side
    140,533.38x = 10,934,037,300.50
  5. Step 5: Solve for x
    x = 10,934,037,300.50/140,533.38
  6. Step 6: Final answer
    x = 77,803.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.