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Finding the Fourth Proportional to 257,785.66, 386,831.58 and 139,454.38

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Solution

The fourth proportional to 257,785.66, 386,831.58 and 139,454.38 is: 209,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,785.66 : 386,831.58 = 139,454.38 : x
  2. Step 2: Convert to fraction form
    257,785.66/386,831.58 = 139,454.38/x
  3. Step 3: Cross multiply
    257,785.66x = 386,831.58 × 139,454.38
  4. Step 4: Simplify right side
    257,785.66x = 53,945,358,153.32
  5. Step 5: Solve for x
    x = 53,945,358,153.32/257,785.66
  6. Step 6: Final answer
    x = 209,264.39

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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.