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Finding the Fourth Proportional to 145,838.07, 201,255.32 and 81,306.56

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Solution

The fourth proportional to 145,838.07, 201,255.32 and 81,306.56 is: 112,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,838.07 : 201,255.32 = 81,306.56 : x
  2. Step 2: Convert to fraction form
    145,838.07/201,255.32 = 81,306.56/x
  3. Step 3: Cross multiply
    145,838.07x = 201,255.32 × 81,306.56
  4. Step 4: Simplify right side
    145,838.07x = 16,363,378,457.30
  5. Step 5: Solve for x
    x = 16,363,378,457.30/145,838.07
  6. Step 6: Final answer
    x = 112,202.38

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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.