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Finding the Fourth Proportional to 160,712.56, 221,768.35 and 89,086.47

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Solution

The fourth proportional to 160,712.56, 221,768.35 and 89,086.47 is: 122,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,712.56 : 221,768.35 = 89,086.47 : x
  2. Step 2: Convert to fraction form
    160,712.56/221,768.35 = 89,086.47/x
  3. Step 3: Cross multiply
    160,712.56x = 221,768.35 × 89,086.47
  4. Step 4: Simplify right side
    160,712.56x = 19,756,559,459.22
  5. Step 5: Solve for x
    x = 19,756,559,459.22/160,712.56
  6. Step 6: Final answer
    x = 122,931.02

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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.