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Finding the Fourth Proportional to 261,058.90, 360,258.38 and 146,356.22

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Solution

The fourth proportional to 261,058.90, 360,258.38 and 146,356.22 is: 201,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,058.90 : 360,258.38 = 146,356.22 : x
  2. Step 2: Convert to fraction form
    261,058.90/360,258.38 = 146,356.22/x
  3. Step 3: Cross multiply
    261,058.90x = 360,258.38 × 146,356.22
  4. Step 4: Simplify right side
    261,058.90x = 52,726,052,918.83
  5. Step 5: Solve for x
    x = 52,726,052,918.83/261,058.90
  6. Step 6: Final answer
    x = 201,969.95

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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.