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Finding the Fourth Proportional to 180,381.61, 270,614.53 and 52,300.58

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Solution

The fourth proportional to 180,381.61, 270,614.53 and 52,300.58 is: 78,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,381.61 : 270,614.53 = 52,300.58 : x
  2. Step 2: Convert to fraction form
    180,381.61/270,614.53 = 52,300.58/x
  3. Step 3: Cross multiply
    180,381.61x = 270,614.53 × 52,300.58
  4. Step 4: Simplify right side
    180,381.61x = 14,153,295,971.49
  5. Step 5: Solve for x
    x = 14,153,295,971.49/180,381.61
  6. Step 6: Final answer
    x = 78,463.07

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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.