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Finding the Fourth Proportional to 177,075.79, 265,511.79 and 105,056.46

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Solution

The fourth proportional to 177,075.79, 265,511.79 and 105,056.46 is: 157,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,075.79 : 265,511.79 = 105,056.46 : x
  2. Step 2: Convert to fraction form
    177,075.79/265,511.79 = 105,056.46/x
  3. Step 3: Cross multiply
    177,075.79x = 265,511.79 × 105,056.46
  4. Step 4: Simplify right side
    177,075.79x = 27,893,728,745.66
  5. Step 5: Solve for x
    x = 27,893,728,745.66/177,075.79
  6. Step 6: Final answer
    x = 157,524.24

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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.