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Finding the Fourth Proportional to 209,498.32, 289,113.71 and 114,011.06

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Solution

The fourth proportional to 209,498.32, 289,113.71 and 114,011.06 is: 157,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,498.32 : 289,113.71 = 114,011.06 : x
  2. Step 2: Convert to fraction form
    209,498.32/289,113.71 = 114,011.06/x
  3. Step 3: Cross multiply
    209,498.32x = 289,113.71 × 114,011.06
  4. Step 4: Simplify right side
    209,498.32x = 32,962,160,537.63
  5. Step 5: Solve for x
    x = 32,962,160,537.63/209,498.32
  6. Step 6: Final answer
    x = 157,338.54

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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.