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Finding the Fourth Proportional to 231,612.84, 319,598.82 and 129,643.98

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Solution

The fourth proportional to 231,612.84, 319,598.82 and 129,643.98 is: 178,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,612.84 : 319,598.82 = 129,643.98 : x
  2. Step 2: Convert to fraction form
    231,612.84/319,598.82 = 129,643.98/x
  3. Step 3: Cross multiply
    231,612.84x = 319,598.82 × 129,643.98
  4. Step 4: Simplify right side
    231,612.84x = 41,434,063,028.10
  5. Step 5: Solve for x
    x = 41,434,063,028.10/231,612.84
  6. Step 6: Final answer
    x = 178,893.64

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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.