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Finding the Fourth Proportional to 255,893.94, 353,019.53 and 148,401.68

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Solution

The fourth proportional to 255,893.94, 353,019.53 and 148,401.68 is: 204,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,893.94 : 353,019.53 = 148,401.68 : x
  2. Step 2: Convert to fraction form
    255,893.94/353,019.53 = 148,401.68/x
  3. Step 3: Cross multiply
    255,893.94x = 353,019.53 × 148,401.68
  4. Step 4: Simplify right side
    255,893.94x = 52,388,688,817.70
  5. Step 5: Solve for x
    x = 52,388,688,817.70/255,893.94
  6. Step 6: Final answer
    x = 204,728.13

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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.