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Finding the Fourth Proportional to 193,358.98, 266,831.37 and 107,312.97

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Solution

The fourth proportional to 193,358.98, 266,831.37 and 107,312.97 is: 148,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,358.98 : 266,831.37 = 107,312.97 : x
  2. Step 2: Convert to fraction form
    193,358.98/266,831.37 = 107,312.97/x
  3. Step 3: Cross multiply
    193,358.98x = 266,831.37 × 107,312.97
  4. Step 4: Simplify right side
    193,358.98x = 28,634,466,803.87
  5. Step 5: Solve for x
    x = 28,634,466,803.87/193,358.98
  6. Step 6: Final answer
    x = 148,089.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.