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Finding the Fourth Proportional to 180,124.16, 270,186.44 and 47,004.30

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Solution

The fourth proportional to 180,124.16, 270,186.44 and 47,004.30 is: 70,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,124.16 : 270,186.44 = 47,004.30 : x
  2. Step 2: Convert to fraction form
    180,124.16/270,186.44 = 47,004.30/x
  3. Step 3: Cross multiply
    180,124.16x = 270,186.44 × 47,004.30
  4. Step 4: Simplify right side
    180,124.16x = 12,699,924,246.67
  5. Step 5: Solve for x
    x = 12,699,924,246.67/180,124.16
  6. Step 6: Final answer
    x = 70,506.50

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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.