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Finding the Fourth Proportional to 209,862.96, 289,602.42 and 114,367.60

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Solution

The fourth proportional to 209,862.96, 289,602.42 and 114,367.60 is: 157,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,862.96 : 289,602.42 = 114,367.60 : x
  2. Step 2: Convert to fraction form
    209,862.96/289,602.42 = 114,367.60/x
  3. Step 3: Cross multiply
    209,862.96x = 289,602.42 × 114,367.60
  4. Step 4: Simplify right side
    209,862.96x = 33,121,133,729.59
  5. Step 5: Solve for x
    x = 33,121,133,729.59/209,862.96
  6. Step 6: Final answer
    x = 157,822.67

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1.5x scale

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.