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Finding the Fourth Proportional to 268,474.48, 403,022.80 and 144,058.48

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Solution

The fourth proportional to 268,474.48, 403,022.80 and 144,058.48 is: 216,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,474.48 : 403,022.80 = 144,058.48 : x
  2. Step 2: Convert to fraction form
    268,474.48/403,022.80 = 144,058.48/x
  3. Step 3: Cross multiply
    268,474.48x = 403,022.80 × 144,058.48
  4. Step 4: Simplify right side
    268,474.48x = 58,058,851,973.34
  5. Step 5: Solve for x
    x = 58,058,851,973.34/268,474.48
  6. Step 6: Final answer
    x = 216,254.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.