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Finding the Fourth Proportional to 140,532.88, 210,882.32 and 51,848.32

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Solution

The fourth proportional to 140,532.88, 210,882.32 and 51,848.32 is: 77,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,532.88 : 210,882.32 = 51,848.32 : x
  2. Step 2: Convert to fraction form
    140,532.88/210,882.32 = 51,848.32/x
  3. Step 3: Cross multiply
    140,532.88x = 210,882.32 × 51,848.32
  4. Step 4: Simplify right side
    140,532.88x = 10,933,894,009.70
  5. Step 5: Solve for x
    x = 10,933,894,009.70/140,532.88
  6. Step 6: Final answer
    x = 77,803.10

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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.