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Finding the Fourth Proportional to 252,011.34, 377,885.76 and 118,855.84

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Solution

The fourth proportional to 252,011.34, 377,885.76 and 118,855.84 is: 178,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,011.34 : 377,885.76 = 118,855.84 : x
  2. Step 2: Convert to fraction form
    252,011.34/377,885.76 = 118,855.84/x
  3. Step 3: Cross multiply
    252,011.34x = 377,885.76 × 118,855.84
  4. Step 4: Simplify right side
    252,011.34x = 44,913,929,428.84
  5. Step 5: Solve for x
    x = 44,913,929,428.84/252,011.34
  6. Step 6: Final answer
    x = 178,221.86

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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.