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Finding the Fourth Proportional to 283,181, 424,771.50 and 116,973.32

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Solution

The fourth proportional to 283,181, 424,771.50 and 116,973.32 is: 175,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,181 : 424,771.50 = 116,973.32 : x
  2. Step 2: Convert to fraction form
    283,181/424,771.50 = 116,973.32/x
  3. Step 3: Cross multiply
    283,181x = 424,771.50 × 116,973.32
  4. Step 4: Simplify right side
    283,181x = 49,686,932,596.38
  5. Step 5: Solve for x
    x = 49,686,932,596.38/283,181
  6. Step 6: Final answer
    x = 175,459.98

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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.