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Finding the Fourth Proportional to 164,708, 247,040.16 and 46,388.64

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Solution

The fourth proportional to 164,708, 247,040.16 and 46,388.64 is: 69,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,708 : 247,040.16 = 46,388.64 : x
  2. Step 2: Convert to fraction form
    164,708/247,040.16 = 46,388.64/x
  3. Step 3: Cross multiply
    164,708x = 247,040.16 × 46,388.64
  4. Step 4: Simplify right side
    164,708x = 11,459,857,047.78
  5. Step 5: Solve for x
    x = 11,459,857,047.78/164,708
  6. Step 6: Final answer
    x = 69,576.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.