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Finding the Fourth Proportional to 109,802.64, 164,924.40 and 65,515.84

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Solution

The fourth proportional to 109,802.64, 164,924.40 and 65,515.84 is: 98,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,802.64 : 164,924.40 = 65,515.84 : x
  2. Step 2: Convert to fraction form
    109,802.64/164,924.40 = 65,515.84/x
  3. Step 3: Cross multiply
    109,802.64x = 164,924.40 × 65,515.84
  4. Step 4: Simplify right side
    109,802.64x = 10,805,160,602.50
  5. Step 5: Solve for x
    x = 10,805,160,602.50/109,802.64
  6. Step 6: Final answer
    x = 98,405.29

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