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Finding the Fourth Proportional to 273,242.94, 377,074.50 and 152,384.34

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Solution

The fourth proportional to 273,242.94, 377,074.50 and 152,384.34 is: 210,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,242.94 : 377,074.50 = 152,384.34 : x
  2. Step 2: Convert to fraction form
    273,242.94/377,074.50 = 152,384.34/x
  3. Step 3: Cross multiply
    273,242.94x = 377,074.50 × 152,384.34
  4. Step 4: Simplify right side
    273,242.94x = 57,460,248,813.33
  5. Step 5: Solve for x
    x = 57,460,248,813.33/273,242.94
  6. Step 6: Final answer
    x = 210,289.97

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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.