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Finding the Fourth Proportional to 255,877.74, 353,105.62 and 141,156.48

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Solution

The fourth proportional to 255,877.74, 353,105.62 and 141,156.48 is: 194,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,877.74 : 353,105.62 = 141,156.48 : x
  2. Step 2: Convert to fraction form
    255,877.74/353,105.62 = 141,156.48/x
  3. Step 3: Cross multiply
    255,877.74x = 353,105.62 × 141,156.48
  4. Step 4: Simplify right side
    255,877.74x = 49,843,144,621.89
  5. Step 5: Solve for x
    x = 49,843,144,621.89/255,877.74
  6. Step 6: Final answer
    x = 194,792.81

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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.