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Finding the Fourth Proportional to 231,578, 319,577.64 and 125,594

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Solution

The fourth proportional to 231,578, 319,577.64 and 125,594 is: 173,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,578 : 319,577.64 = 125,594 : x
  2. Step 2: Convert to fraction form
    231,578/319,577.64 = 125,594/x
  3. Step 3: Cross multiply
    231,578x = 319,577.64 × 125,594
  4. Step 4: Simplify right side
    231,578x = 40,137,034,118.16
  5. Step 5: Solve for x
    x = 40,137,034,118.16/231,578
  6. Step 6: Final answer
    x = 173,319.72

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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.