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Finding the Fourth Proportional to 231,588, 319,600.08 and 130,983.84

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Solution

The fourth proportional to 231,588, 319,600.08 and 130,983.84 is: 180,762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,588 : 319,600.08 = 130,983.84 : x
  2. Step 2: Convert to fraction form
    231,588/319,600.08 = 130,983.84/x
  3. Step 3: Cross multiply
    231,588x = 319,600.08 × 130,983.84
  4. Step 4: Simplify right side
    231,588x = 41,862,445,742.71
  5. Step 5: Solve for x
    x = 41,862,445,742.71/231,588
  6. Step 6: Final answer
    x = 180,762.59

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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.