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Finding the Fourth Proportional to 109,969.55, 164,954.33 and 97,284.95

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Solution

The fourth proportional to 109,969.55, 164,954.33 and 97,284.95 is: 145,927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,969.55 : 164,954.33 = 97,284.95 : x
  2. Step 2: Convert to fraction form
    109,969.55/164,954.33 = 97,284.95/x
  3. Step 3: Cross multiply
    109,969.55x = 164,954.33 × 97,284.95
  4. Step 4: Simplify right side
    109,969.55x = 16,047,573,746.33
  5. Step 5: Solve for x
    x = 16,047,573,746.33/109,969.55
  6. Step 6: Final answer
    x = 145,927.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.