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Finding the Fourth Proportional to 218,461.84, 301,418.34 and 127,840.26

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Solution

The fourth proportional to 218,461.84, 301,418.34 and 127,840.26 is: 176,385.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,461.84 : 301,418.34 = 127,840.26 : x
  2. Step 2: Convert to fraction form
    218,461.84/301,418.34 = 127,840.26/x
  3. Step 3: Cross multiply
    218,461.84x = 301,418.34 × 127,840.26
  4. Step 4: Simplify right side
    218,461.84x = 38,533,398,954.37
  5. Step 5: Solve for x
    x = 38,533,398,954.37/218,461.84
  6. Step 6: Final answer
    x = 176,385.03

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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.