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Finding the Fourth Proportional to 160,705.04, 221,749.60 and 89,085

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Solution

The fourth proportional to 160,705.04, 221,749.60 and 89,085 is: 122,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,705.04 : 221,749.60 = 89,085 : x
  2. Step 2: Convert to fraction form
    160,705.04/221,749.60 = 89,085/x
  3. Step 3: Cross multiply
    160,705.04x = 221,749.60 × 89,085
  4. Step 4: Simplify right side
    160,705.04x = 19,754,563,116
  5. Step 5: Solve for x
    x = 19,754,563,116/160,705.04
  6. Step 6: Final answer
    x = 122,924.35

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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.