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Finding the Fourth Proportional to 180,406.42, 249,166.46 and 122,946.64

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Solution

The fourth proportional to 180,406.42, 249,166.46 and 122,946.64 is: 169,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,406.42 : 249,166.46 = 122,946.64 : x
  2. Step 2: Convert to fraction form
    180,406.42/249,166.46 = 122,946.64/x
  3. Step 3: Cross multiply
    180,406.42x = 249,166.46 × 122,946.64
  4. Step 4: Simplify right side
    180,406.42x = 30,634,179,057.69
  5. Step 5: Solve for x
    x = 30,634,179,057.69/180,406.42
  6. Step 6: Final answer
    x = 169,806.48

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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.