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Finding the Fourth Proportional to 151,274.08, 208,756.54 and 83,289.67

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Solution

The fourth proportional to 151,274.08, 208,756.54 and 83,289.67 is: 114,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,274.08 : 208,756.54 = 83,289.67 : x
  2. Step 2: Convert to fraction form
    151,274.08/208,756.54 = 83,289.67/x
  3. Step 3: Cross multiply
    151,274.08x = 208,756.54 × 83,289.67
  4. Step 4: Simplify right side
    151,274.08x = 17,387,262,909.16
  5. Step 5: Solve for x
    x = 17,387,262,909.16/151,274.08
  6. Step 6: Final answer
    x = 114,938.81

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