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Finding the Fourth Proportional to 164,477.40, 246,716.10 and 105,428.40

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Solution

The fourth proportional to 164,477.40, 246,716.10 and 105,428.40 is: 158,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,477.40 : 246,716.10 = 105,428.40 : x
  2. Step 2: Convert to fraction form
    164,477.40/246,716.10 = 105,428.40/x
  3. Step 3: Cross multiply
    164,477.40x = 246,716.10 × 105,428.40
  4. Step 4: Simplify right side
    164,477.40x = 26,010,883,677.24
  5. Step 5: Solve for x
    x = 26,010,883,677.24/164,477.40
  6. Step 6: Final answer
    x = 158,142.60

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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.