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Finding the Fourth Proportional to 98,233, 147,349.50 and 35,903.50

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Solution

The fourth proportional to 98,233, 147,349.50 and 35,903.50 is: 53,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,233 : 147,349.50 = 35,903.50 : x
  2. Step 2: Convert to fraction form
    98,233/147,349.50 = 35,903.50/x
  3. Step 3: Cross multiply
    98,233x = 147,349.50 × 35,903.50
  4. Step 4: Simplify right side
    98,233x = 5,290,362,773.25
  5. Step 5: Solve for x
    x = 5,290,362,773.25/98,233
  6. Step 6: Final answer
    x = 53,855.25

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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.