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Finding the Fourth Proportional to 420,189.50, 630,289.72 and 139,706.76

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Solution

The fourth proportional to 420,189.50, 630,289.72 and 139,706.76 is: 209,561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,189.50 : 630,289.72 = 139,706.76 : x
  2. Step 2: Convert to fraction form
    420,189.50/630,289.72 = 139,706.76/x
  3. Step 3: Cross multiply
    420,189.50x = 630,289.72 × 139,706.76
  4. Step 4: Simplify right side
    420,189.50x = 88,055,734,642.51
  5. Step 5: Solve for x
    x = 88,055,734,642.51/420,189.50
  6. Step 6: Final answer
    x = 209,561.96

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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.