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Finding the Fourth Proportional to 273,293.81, 377,144.48 and 152,435

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Solution

The fourth proportional to 273,293.81, 377,144.48 and 152,435 is: 210,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,293.81 : 377,144.48 = 152,435 : x
  2. Step 2: Convert to fraction form
    273,293.81/377,144.48 = 152,435/x
  3. Step 3: Cross multiply
    273,293.81x = 377,144.48 × 152,435
  4. Step 4: Simplify right side
    273,293.81x = 57,490,018,808.80
  5. Step 5: Solve for x
    x = 57,490,018,808.80/273,293.81
  6. Step 6: Final answer
    x = 210,359.75

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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.