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Finding the Fourth Proportional to 209,641.48, 289,311.42 and 114,152.20

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Solution

The fourth proportional to 209,641.48, 289,311.42 and 114,152.20 is: 157,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,641.48 : 289,311.42 = 114,152.20 : x
  2. Step 2: Convert to fraction form
    209,641.48/289,311.42 = 114,152.20/x
  3. Step 3: Cross multiply
    209,641.48x = 289,311.42 × 114,152.20
  4. Step 4: Simplify right side
    209,641.48x = 33,025,535,078.12
  5. Step 5: Solve for x
    x = 33,025,535,078.12/209,641.48
  6. Step 6: Final answer
    x = 157,533.40

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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.