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Finding the Fourth Proportional to 139,012.16, 208,516.40 and 33,831.20

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Solution

The fourth proportional to 139,012.16, 208,516.40 and 33,831.20 is: 50,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,012.16 : 208,516.40 = 33,831.20 : x
  2. Step 2: Convert to fraction form
    139,012.16/208,516.40 = 33,831.20/x
  3. Step 3: Cross multiply
    139,012.16x = 208,516.40 × 33,831.20
  4. Step 4: Simplify right side
    139,012.16x = 7,054,360,031.68
  5. Step 5: Solve for x
    x = 7,054,360,031.68/139,012.16
  6. Step 6: Final answer
    x = 50,746.35

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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.