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Finding the Fourth Proportional to 254,349.30, 351,018.63 and 146,923.86

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Solution

The fourth proportional to 254,349.30, 351,018.63 and 146,923.86 is: 202,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,349.30 : 351,018.63 = 146,923.86 : x
  2. Step 2: Convert to fraction form
    254,349.30/351,018.63 = 146,923.86/x
  3. Step 3: Cross multiply
    254,349.30x = 351,018.63 × 146,923.86
  4. Step 4: Simplify right side
    254,349.30x = 51,573,012,051.51
  5. Step 5: Solve for x
    x = 51,573,012,051.51/254,349.30
  6. Step 6: Final answer
    x = 202,764.51

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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.