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Finding the Fourth Proportional to 148,340.80, 208,202 and 148,340.80

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Solution

The fourth proportional to 148,340.80, 208,202 and 148,340.80 is: 208,202

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,340.80 : 208,202 = 148,340.80 : x
  2. Step 2: Convert to fraction form
    148,340.80/208,202 = 148,340.80/x
  3. Step 3: Cross multiply
    148,340.80x = 208,202 × 148,340.80
  4. Step 4: Simplify right side
    148,340.80x = 30,884,851,241.60
  5. Step 5: Solve for x
    x = 30,884,851,241.60/148,340.80
  6. Step 6: Final answer
    x = 208,202

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.