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Finding the Fourth Proportional to 257,630.16, 386,556.48 and 139,384.74

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Solution

The fourth proportional to 257,630.16, 386,556.48 and 139,384.74 is: 209,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,630.16 : 386,556.48 = 139,384.74 : x
  2. Step 2: Convert to fraction form
    257,630.16/386,556.48 = 139,384.74/x
  3. Step 3: Cross multiply
    257,630.16x = 386,556.48 × 139,384.74
  4. Step 4: Simplify right side
    257,630.16x = 53,880,074,460.12
  5. Step 5: Solve for x
    x = 53,880,074,460.12/257,630.16
  6. Step 6: Final answer
    x = 209,137.29

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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.