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Finding the Fourth Proportional to 209,588.79, 289,272.38 and 118,953.24

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Solution

The fourth proportional to 209,588.79, 289,272.38 and 118,953.24 is: 164,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,588.79 : 289,272.38 = 118,953.24 : x
  2. Step 2: Convert to fraction form
    209,588.79/289,272.38 = 118,953.24/x
  3. Step 3: Cross multiply
    209,588.79x = 289,272.38 × 118,953.24
  4. Step 4: Simplify right side
    209,588.79x = 34,409,886,248.75
  5. Step 5: Solve for x
    x = 34,409,886,248.75/209,588.79
  6. Step 6: Final answer
    x = 164,178.09

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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.