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Finding the Fourth Proportional to 200,855.93, 301,362.30 and 88,457.15

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Solution

The fourth proportional to 200,855.93, 301,362.30 and 88,457.15 is: 132,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,855.93 : 301,362.30 = 88,457.15 : x
  2. Step 2: Convert to fraction form
    200,855.93/301,362.30 = 88,457.15/x
  3. Step 3: Cross multiply
    200,855.93x = 301,362.30 × 88,457.15
  4. Step 4: Simplify right side
    200,855.93x = 26,657,650,928.85
  5. Step 5: Solve for x
    x = 26,657,650,928.85/200,855.93
  6. Step 6: Final answer
    x = 132,720.26

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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.