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Finding the Fourth Proportional to 231,771.51, 319,877.10 and 167,448.93

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Solution

The fourth proportional to 231,771.51, 319,877.10 and 167,448.93 is: 231,102.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,771.51 : 319,877.10 = 167,448.93 : x
  2. Step 2: Convert to fraction form
    231,771.51/319,877.10 = 167,448.93/x
  3. Step 3: Cross multiply
    231,771.51x = 319,877.10 × 167,448.93
  4. Step 4: Simplify right side
    231,771.51x = 53,563,078,126.50
  5. Step 5: Solve for x
    x = 53,563,078,126.50/231,771.51
  6. Step 6: Final answer
    x = 231,102.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.