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Finding the Fourth Proportional to 180,811.68, 249,724.38 and 123,352.34

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Solution

The fourth proportional to 180,811.68, 249,724.38 and 123,352.34 is: 170,365.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,811.68 : 249,724.38 = 123,352.34 : x
  2. Step 2: Convert to fraction form
    180,811.68/249,724.38 = 123,352.34/x
  3. Step 3: Cross multiply
    180,811.68x = 249,724.38 × 123,352.34
  4. Step 4: Simplify right side
    180,811.68x = 30,804,086,628.05
  5. Step 5: Solve for x
    x = 30,804,086,628.05/180,811.68
  6. Step 6: Final answer
    x = 170,365.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.