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Finding the Fourth Proportional to 263,095.80, 363,107.70 and 148,397.91

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Solution

The fourth proportional to 263,095.80, 363,107.70 and 148,397.91 is: 204,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,095.80 : 363,107.70 = 148,397.91 : x
  2. Step 2: Convert to fraction form
    263,095.80/363,107.70 = 148,397.91/x
  3. Step 3: Cross multiply
    263,095.80x = 363,107.70 × 148,397.91
  4. Step 4: Simplify right side
    263,095.80x = 53,884,423,784.91
  5. Step 5: Solve for x
    x = 53,884,423,784.91/263,095.80
  6. Step 6: Final answer
    x = 204,809.14

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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.