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Finding the Fourth Proportional to 254,836.68, 382,256.23 and 77,345.22

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Solution

The fourth proportional to 254,836.68, 382,256.23 and 77,345.22 is: 116,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,836.68 : 382,256.23 = 77,345.22 : x
  2. Step 2: Convert to fraction form
    254,836.68/382,256.23 = 77,345.22/x
  3. Step 3: Cross multiply
    254,836.68x = 382,256.23 × 77,345.22
  4. Step 4: Simplify right side
    254,836.68x = 29,565,692,205.72
  5. Step 5: Solve for x
    x = 29,565,692,205.72/254,836.68
  6. Step 6: Final answer
    x = 116,018.20

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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.