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Finding the Fourth Proportional to 254,051.53, 350,565.85 and 146,656.16

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Solution

The fourth proportional to 254,051.53, 350,565.85 and 146,656.16 is: 202,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,051.53 : 350,565.85 = 146,656.16 : x
  2. Step 2: Convert to fraction form
    254,051.53/350,565.85 = 146,656.16/x
  3. Step 3: Cross multiply
    254,051.53x = 350,565.85 × 146,656.16
  4. Step 4: Simplify right side
    254,051.53x = 51,412,641,388.14
  5. Step 5: Solve for x
    x = 51,412,641,388.14/254,051.53
  6. Step 6: Final answer
    x = 202,370.92

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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.