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Finding the Fourth Proportional to 129,459.05, 178,653.51 and 75,754.38

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Solution

The fourth proportional to 129,459.05, 178,653.51 and 75,754.38 is: 104,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,459.05 : 178,653.51 = 75,754.38 : x
  2. Step 2: Convert to fraction form
    129,459.05/178,653.51 = 75,754.38/x
  3. Step 3: Cross multiply
    129,459.05x = 178,653.51 × 75,754.38
  4. Step 4: Simplify right side
    129,459.05x = 13,533,785,884.87
  5. Step 5: Solve for x
    x = 13,533,785,884.87/129,459.05
  6. Step 6: Final answer
    x = 104,541.06

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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.