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Finding the Fourth Proportional to 145,326.76, 200,569.37 and 81,664.50

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Solution

The fourth proportional to 145,326.76, 200,569.37 and 81,664.50 is: 112,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,326.76 : 200,569.37 = 81,664.50 : x
  2. Step 2: Convert to fraction form
    145,326.76/200,569.37 = 81,664.50/x
  3. Step 3: Cross multiply
    145,326.76x = 200,569.37 × 81,664.50
  4. Step 4: Simplify right side
    145,326.76x = 16,379,397,660.18
  5. Step 5: Solve for x
    x = 16,379,397,660.18/145,326.76
  6. Step 6: Final answer
    x = 112,707.38

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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.