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Finding the Fourth Proportional to 252,144, 378,280.80 and 94,374.72

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Solution

The fourth proportional to 252,144, 378,280.80 and 94,374.72 is: 141,586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,144 : 378,280.80 = 94,374.72 : x
  2. Step 2: Convert to fraction form
    252,144/378,280.80 = 94,374.72/x
  3. Step 3: Cross multiply
    252,144x = 378,280.80 × 94,374.72
  4. Step 4: Simplify right side
    252,144x = 35,700,144,581.38
  5. Step 5: Solve for x
    x = 35,700,144,581.38/252,144
  6. Step 6: Final answer
    x = 141,586.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.