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Finding the Fourth Proportional to 384,783.84, 577,121.69 and 132,060.20

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Solution

The fourth proportional to 384,783.84, 577,121.69 and 132,060.20 is: 198,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,783.84 : 577,121.69 = 132,060.20 : x
  2. Step 2: Convert to fraction form
    384,783.84/577,121.69 = 132,060.20/x
  3. Step 3: Cross multiply
    384,783.84x = 577,121.69 × 132,060.20
  4. Step 4: Simplify right side
    384,783.84x = 76,214,803,250.28
  5. Step 5: Solve for x
    x = 76,214,803,250.28/384,783.84
  6. Step 6: Final answer
    x = 198,071.74

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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.