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Finding the Fourth Proportional to 160,207, 221,077.02 and 88,582.84

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Solution

The fourth proportional to 160,207, 221,077.02 and 88,582.84 is: 122,239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,207 : 221,077.02 = 88,582.84 : x
  2. Step 2: Convert to fraction form
    160,207/221,077.02 = 88,582.84/x
  3. Step 3: Cross multiply
    160,207x = 221,077.02 × 88,582.84
  4. Step 4: Simplify right side
    160,207x = 19,583,630,290.34
  5. Step 5: Solve for x
    x = 19,583,630,290.34/160,207
  6. Step 6: Final answer
    x = 122,239.54

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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.