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Finding the Fourth Proportional to 145,767.88, 201,160.38 and 82,106.68

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Solution

The fourth proportional to 145,767.88, 201,160.38 and 82,106.68 is: 113,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,767.88 : 201,160.38 = 82,106.68 : x
  2. Step 2: Convert to fraction form
    145,767.88/201,160.38 = 82,106.68/x
  3. Step 3: Cross multiply
    145,767.88x = 201,160.38 × 82,106.68
  4. Step 4: Simplify right side
    145,767.88x = 16,516,610,949.34
  5. Step 5: Solve for x
    x = 16,516,610,949.34/145,767.88
  6. Step 6: Final answer
    x = 113,307.62

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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.