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Finding the Fourth Proportional to 148,516.30, 208,447.70 and 148,516.30

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Solution

The fourth proportional to 148,516.30, 208,447.70 and 148,516.30 is: 208,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,516.30 : 208,447.70 = 148,516.30 : x
  2. Step 2: Convert to fraction form
    148,516.30/208,447.70 = 148,516.30/x
  3. Step 3: Cross multiply
    148,516.30x = 208,447.70 × 148,516.30
  4. Step 4: Simplify right side
    148,516.30x = 30,957,881,147.51
  5. Step 5: Solve for x
    x = 30,957,881,147.51/148,516.30
  6. Step 6: Final answer
    x = 208,447.70

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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.