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Finding the Fourth Proportional to 164,603.62, 246,905.48 and 46,275

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Solution

The fourth proportional to 164,603.62, 246,905.48 and 46,275 is: 69,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,603.62 : 246,905.48 = 46,275 : x
  2. Step 2: Convert to fraction form
    164,603.62/246,905.48 = 46,275/x
  3. Step 3: Cross multiply
    164,603.62x = 246,905.48 × 46,275
  4. Step 4: Simplify right side
    164,603.62x = 11,425,551,087
  5. Step 5: Solve for x
    x = 11,425,551,087/164,603.62
  6. Step 6: Final answer
    x = 69,412.51

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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.