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Finding the Fourth Proportional to 98,263.84, 147,395.16 and 28,143.16

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Solution

The fourth proportional to 98,263.84, 147,395.16 and 28,143.16 is: 42,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,263.84 : 147,395.16 = 28,143.16 : x
  2. Step 2: Convert to fraction form
    98,263.84/147,395.16 = 28,143.16/x
  3. Step 3: Cross multiply
    98,263.84x = 147,395.16 × 28,143.16
  4. Step 4: Simplify right side
    98,263.84x = 4,148,165,571.11
  5. Step 5: Solve for x
    x = 4,148,165,571.11/98,263.84
  6. Step 6: Final answer
    x = 42,214.57

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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.