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Finding the Fourth Proportional to 382,178.44, 573,280.62 and 101,695.96

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Solution

The fourth proportional to 382,178.44, 573,280.62 and 101,695.96 is: 152,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,178.44 : 573,280.62 = 101,695.96 : x
  2. Step 2: Convert to fraction form
    382,178.44/573,280.62 = 101,695.96/x
  3. Step 3: Cross multiply
    382,178.44x = 573,280.62 × 101,695.96
  4. Step 4: Simplify right side
    382,178.44x = 58,300,323,000.30
  5. Step 5: Solve for x
    x = 58,300,323,000.30/382,178.44
  6. Step 6: Final answer
    x = 152,547.39

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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.