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Finding the Fourth Proportional to 209,866.38, 289,615.98 and 114,373.04

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Solution

The fourth proportional to 209,866.38, 289,615.98 and 114,373.04 is: 157,835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,866.38 : 289,615.98 = 114,373.04 : x
  2. Step 2: Convert to fraction form
    209,866.38/289,615.98 = 114,373.04/x
  3. Step 3: Cross multiply
    209,866.38x = 289,615.98 × 114,373.04
  4. Step 4: Simplify right side
    209,866.38x = 33,124,260,065.18
  5. Step 5: Solve for x
    x = 33,124,260,065.18/209,866.38
  6. Step 6: Final answer
    x = 157,835.00

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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.