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Finding the Fourth Proportional to 283,152.86, 424,728.85 and 194,136.50

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Solution

The fourth proportional to 283,152.86, 424,728.85 and 194,136.50 is: 291,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,152.86 : 424,728.85 = 194,136.50 : x
  2. Step 2: Convert to fraction form
    283,152.86/424,728.85 = 194,136.50/x
  3. Step 3: Cross multiply
    283,152.86x = 424,728.85 × 194,136.50
  4. Step 4: Simplify right side
    283,152.86x = 82,455,369,779.04
  5. Step 5: Solve for x
    x = 82,455,369,779.04/283,152.86
  6. Step 6: Final answer
    x = 291,204.44

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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.