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Finding the Fourth Proportional to 263,648.90, 363,857.88 and 148,948.58

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Solution

The fourth proportional to 263,648.90, 363,857.88 and 148,948.58 is: 205,561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,648.90 : 363,857.88 = 148,948.58 : x
  2. Step 2: Convert to fraction form
    263,648.90/363,857.88 = 148,948.58/x
  3. Step 3: Cross multiply
    263,648.90x = 363,857.88 × 148,948.58
  4. Step 4: Simplify right side
    263,648.90x = 54,196,114,547.81
  5. Step 5: Solve for x
    x = 54,196,114,547.81/263,648.90
  6. Step 6: Final answer
    x = 205,561.69

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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.