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Finding the Fourth Proportional to 180,373.16, 270,571.62 and 47,256.68

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Solution

The fourth proportional to 180,373.16, 270,571.62 and 47,256.68 is: 70,888.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,373.16 : 270,571.62 = 47,256.68 : x
  2. Step 2: Convert to fraction form
    180,373.16/270,571.62 = 47,256.68/x
  3. Step 3: Cross multiply
    180,373.16x = 270,571.62 × 47,256.68
  4. Step 4: Simplify right side
    180,373.16x = 12,786,316,463.42
  5. Step 5: Solve for x
    x = 12,786,316,463.42/180,373.16
  6. Step 6: Final answer
    x = 70,888.13

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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.