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Finding the Fourth Proportional to 145,859.82, 201,285.36 and 81,328.29

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Solution

The fourth proportional to 145,859.82, 201,285.36 and 81,328.29 is: 112,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,859.82 : 201,285.36 = 81,328.29 : x
  2. Step 2: Convert to fraction form
    145,859.82/201,285.36 = 81,328.29/x
  3. Step 3: Cross multiply
    145,859.82x = 201,285.36 × 81,328.29
  4. Step 4: Simplify right side
    145,859.82x = 16,370,194,130.83
  5. Step 5: Solve for x
    x = 16,370,194,130.83/145,859.82
  6. Step 6: Final answer
    x = 112,232.38

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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.