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Finding the Fourth Proportional to 254,338.16, 350,905.48 and 146,894

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Solution

The fourth proportional to 254,338.16, 350,905.48 and 146,894 is: 202,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,338.16 : 350,905.48 = 146,894 : x
  2. Step 2: Convert to fraction form
    254,338.16/350,905.48 = 146,894/x
  3. Step 3: Cross multiply
    254,338.16x = 350,905.48 × 146,894
  4. Step 4: Simplify right side
    254,338.16x = 51,545,909,579.12
  5. Step 5: Solve for x
    x = 51,545,909,579.12/254,338.16
  6. Step 6: Final answer
    x = 202,666.83

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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.