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Finding the Fourth Proportional to 254,041.36, 350,565.21 and 146,646

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Solution

The fourth proportional to 254,041.36, 350,565.21 and 146,646 is: 202,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,041.36 : 350,565.21 = 146,646 : x
  2. Step 2: Convert to fraction form
    254,041.36/350,565.21 = 146,646/x
  3. Step 3: Cross multiply
    254,041.36x = 350,565.21 × 146,646
  4. Step 4: Simplify right side
    254,041.36x = 51,408,985,785.66
  5. Step 5: Solve for x
    x = 51,408,985,785.66/254,041.36
  6. Step 6: Final answer
    x = 202,364.63

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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.