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Finding the Fourth Proportional to 257,477.45, 386,322.75 and 139,009.46

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Solution

The fourth proportional to 257,477.45, 386,322.75 and 139,009.46 is: 208,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,477.45 : 386,322.75 = 139,009.46 : x
  2. Step 2: Convert to fraction form
    257,477.45/386,322.75 = 139,009.46/x
  3. Step 3: Cross multiply
    257,477.45x = 386,322.75 × 139,009.46
  4. Step 4: Simplify right side
    257,477.45x = 53,702,514,931.60
  5. Step 5: Solve for x
    x = 53,702,514,931.60/257,477.45
  6. Step 6: Final answer
    x = 208,571.73

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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.