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Finding the Fourth Proportional to 164,536.50, 246,804.75 and 39,877.50

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Solution

The fourth proportional to 164,536.50, 246,804.75 and 39,877.50 is: 59,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,536.50 : 246,804.75 = 39,877.50 : x
  2. Step 2: Convert to fraction form
    164,536.50/246,804.75 = 39,877.50/x
  3. Step 3: Cross multiply
    164,536.50x = 246,804.75 × 39,877.50
  4. Step 4: Simplify right side
    164,536.50x = 9,841,954,984.71
  5. Step 5: Solve for x
    x = 9,841,954,984.71/164,536.50
  6. Step 6: Final answer
    x = 59,816.24

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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.