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Finding the Fourth Proportional to 145,570.68, 200,896.70 and 88,215.02

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Solution

The fourth proportional to 145,570.68, 200,896.70 and 88,215.02 is: 121,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,570.68 : 200,896.70 = 88,215.02 : x
  2. Step 2: Convert to fraction form
    145,570.68/200,896.70 = 88,215.02/x
  3. Step 3: Cross multiply
    145,570.68x = 200,896.70 × 88,215.02
  4. Step 4: Simplify right side
    145,570.68x = 17,722,106,469.60
  5. Step 5: Solve for x
    x = 17,722,106,469.60/145,570.68
  6. Step 6: Final answer
    x = 121,742.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.