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Finding the Fourth Proportional to 145,899.14, 201,356.29 and 85,520.51

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Solution

The fourth proportional to 145,899.14, 201,356.29 and 85,520.51 is: 118,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,899.14 : 201,356.29 = 85,520.51 : x
  2. Step 2: Convert to fraction form
    145,899.14/201,356.29 = 85,520.51/x
  3. Step 3: Cross multiply
    145,899.14x = 201,356.29 × 85,520.51
  4. Step 4: Simplify right side
    145,899.14x = 17,220,093,222.80
  5. Step 5: Solve for x
    x = 17,220,093,222.80/145,899.14
  6. Step 6: Final answer
    x = 118,027.38

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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.