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Finding the Fourth Proportional to 276,671.80, 415,056.30 and 99,281.80

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Solution

The fourth proportional to 276,671.80, 415,056.30 and 99,281.80 is: 148,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,671.80 : 415,056.30 = 99,281.80 : x
  2. Step 2: Convert to fraction form
    276,671.80/415,056.30 = 99,281.80/x
  3. Step 3: Cross multiply
    276,671.80x = 415,056.30 × 99,281.80
  4. Step 4: Simplify right side
    276,671.80x = 41,207,536,565.34
  5. Step 5: Solve for x
    x = 41,207,536,565.34/276,671.80
  6. Step 6: Final answer
    x = 148,940.14

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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.