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Finding the Fourth Proportional to 228,822.18, 315,809.56 and 146,071.91

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Solution

The fourth proportional to 228,822.18, 315,809.56 and 146,071.91 is: 201,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,822.18 : 315,809.56 = 146,071.91 : x
  2. Step 2: Convert to fraction form
    228,822.18/315,809.56 = 146,071.91/x
  3. Step 3: Cross multiply
    228,822.18x = 315,809.56 × 146,071.91
  4. Step 4: Simplify right side
    228,822.18x = 46,130,903,999.49
  5. Step 5: Solve for x
    x = 46,130,903,999.49/228,822.18
  6. Step 6: Final answer
    x = 201,601.54

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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.