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Finding the Fourth Proportional to 109,482.39, 164,395.44 and 65,306.16

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Solution

The fourth proportional to 109,482.39, 164,395.44 and 65,306.16 is: 98,061.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,482.39 : 164,395.44 = 65,306.16 : x
  2. Step 2: Convert to fraction form
    109,482.39/164,395.44 = 65,306.16/x
  3. Step 3: Cross multiply
    109,482.39x = 164,395.44 × 65,306.16
  4. Step 4: Simplify right side
    109,482.39x = 10,736,034,907.91
  5. Step 5: Solve for x
    x = 10,736,034,907.91/109,482.39
  6. Step 6: Final answer
    x = 98,061.75

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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.