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Finding the Fourth Proportional to 105,405.84, 157,998.60 and 46,191.60

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Solution

The fourth proportional to 105,405.84, 157,998.60 and 46,191.60 is: 69,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,405.84 : 157,998.60 = 46,191.60 : x
  2. Step 2: Convert to fraction form
    105,405.84/157,998.60 = 46,191.60/x
  3. Step 3: Cross multiply
    105,405.84x = 157,998.60 × 46,191.60
  4. Step 4: Simplify right side
    105,405.84x = 7,298,208,131.76
  5. Step 5: Solve for x
    x = 7,298,208,131.76/105,405.84
  6. Step 6: Final answer
    x = 69,239.13

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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.