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Finding the Fourth Proportional to 190,837, 286,255.62 and 59,509

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Solution

The fourth proportional to 190,837, 286,255.62 and 59,509 is: 89,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,837 : 286,255.62 = 59,509 : x
  2. Step 2: Convert to fraction form
    190,837/286,255.62 = 59,509/x
  3. Step 3: Cross multiply
    190,837x = 286,255.62 × 59,509
  4. Step 4: Simplify right side
    190,837x = 17,034,785,690.58
  5. Step 5: Solve for x
    x = 17,034,785,690.58/190,837
  6. Step 6: Final answer
    x = 89,263.54

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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.