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Finding the Fourth Proportional to 190,627.64, 285,943.51 and 57,509.05

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Solution

The fourth proportional to 190,627.64, 285,943.51 and 57,509.05 is: 86,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,627.64 : 285,943.51 = 57,509.05 : x
  2. Step 2: Convert to fraction form
    190,627.64/285,943.51 = 57,509.05/x
  3. Step 3: Cross multiply
    190,627.64x = 285,943.51 × 57,509.05
  4. Step 4: Simplify right side
    190,627.64x = 16,444,338,755.13
  5. Step 5: Solve for x
    x = 16,444,338,755.13/190,627.64
  6. Step 6: Final answer
    x = 86,264.19

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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.