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Finding the Fourth Proportional to 225,058.50, 310,581.54 and 123,085.98

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Solution

The fourth proportional to 225,058.50, 310,581.54 and 123,085.98 is: 169,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,058.50 : 310,581.54 = 123,085.98 : x
  2. Step 2: Convert to fraction form
    225,058.50/310,581.54 = 123,085.98/x
  3. Step 3: Cross multiply
    225,058.50x = 310,581.54 × 123,085.98
  4. Step 4: Simplify right side
    225,058.50x = 38,228,233,220.81
  5. Step 5: Solve for x
    x = 38,228,233,220.81/225,058.50
  6. Step 6: Final answer
    x = 169,859.10

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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.