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Finding the Fourth Proportional to 261,376.35, 360,705.57 and 146,663.48

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Solution

The fourth proportional to 261,376.35, 360,705.57 and 146,663.48 is: 202,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,376.35 : 360,705.57 = 146,663.48 : x
  2. Step 2: Convert to fraction form
    261,376.35/360,705.57 = 146,663.48/x
  3. Step 3: Cross multiply
    261,376.35x = 360,705.57 × 146,663.48
  4. Step 4: Simplify right side
    261,376.35x = 52,902,332,348.06
  5. Step 5: Solve for x
    x = 52,902,332,348.06/261,376.35
  6. Step 6: Final answer
    x = 202,399.08

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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.