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Finding the Fourth Proportional to 254,051.37, 350,565.62 and 146,656

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Solution

The fourth proportional to 254,051.37, 350,565.62 and 146,656 is: 202,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,051.37 : 350,565.62 = 146,656 : x
  2. Step 2: Convert to fraction form
    254,051.37/350,565.62 = 146,656/x
  3. Step 3: Cross multiply
    254,051.37x = 350,565.62 × 146,656
  4. Step 4: Simplify right side
    254,051.37x = 51,412,551,566.72
  5. Step 5: Solve for x
    x = 51,412,551,566.72/254,051.37
  6. Step 6: Final answer
    x = 202,370.70

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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.