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Finding the Fourth Proportional to 148,497.30, 208,421.10 and 148,497.30

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Solution

The fourth proportional to 148,497.30, 208,421.10 and 148,497.30 is: 208,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,497.30 : 208,421.10 = 148,497.30 : x
  2. Step 2: Convert to fraction form
    148,497.30/208,421.10 = 148,497.30/x
  3. Step 3: Cross multiply
    148,497.30x = 208,421.10 × 148,497.30
  4. Step 4: Simplify right side
    148,497.30x = 30,949,970,613.03
  5. Step 5: Solve for x
    x = 30,949,970,613.03/148,497.30
  6. Step 6: Final answer
    x = 208,421.10

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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.