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Finding the Fourth Proportional to 261,384.36, 360,705.54 and 146,665.08

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Solution

The fourth proportional to 261,384.36, 360,705.54 and 146,665.08 is: 202,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,384.36 : 360,705.54 = 146,665.08 : x
  2. Step 2: Convert to fraction form
    261,384.36/360,705.54 = 146,665.08/x
  3. Step 3: Cross multiply
    261,384.36x = 360,705.54 × 146,665.08
  4. Step 4: Simplify right side
    261,384.36x = 52,902,906,880.54
  5. Step 5: Solve for x
    x = 52,902,906,880.54/261,384.36
  6. Step 6: Final answer
    x = 202,395.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.