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Finding the Fourth Proportional to 254,051.66, 350,566.02 and 146,656.29

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Solution

The fourth proportional to 254,051.66, 350,566.02 and 146,656.29 is: 202,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,051.66 : 350,566.02 = 146,656.29 : x
  2. Step 2: Convert to fraction form
    254,051.66/350,566.02 = 146,656.29/x
  3. Step 3: Cross multiply
    254,051.66x = 350,566.02 × 146,656.29
  4. Step 4: Simplify right side
    254,051.66x = 51,412,711,893.27
  5. Step 5: Solve for x
    x = 51,412,711,893.27/254,051.66
  6. Step 6: Final answer
    x = 202,371.10

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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.