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Finding the Fourth Proportional to 182,280.83, 251,570.28 and 105,783.50

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Solution

The fourth proportional to 182,280.83, 251,570.28 and 105,783.50 is: 145,994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,280.83 : 251,570.28 = 105,783.50 : x
  2. Step 2: Convert to fraction form
    182,280.83/251,570.28 = 105,783.50/x
  3. Step 3: Cross multiply
    182,280.83x = 251,570.28 × 105,783.50
  4. Step 4: Simplify right side
    182,280.83x = 26,611,984,714.38
  5. Step 5: Solve for x
    x = 26,611,984,714.38/182,280.83
  6. Step 6: Final answer
    x = 145,994.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.