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Finding the Fourth Proportional to 209,848.67, 289,590.71 and 114,355.14

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Solution

The fourth proportional to 209,848.67, 289,590.71 and 114,355.14 is: 157,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,848.67 : 289,590.71 = 114,355.14 : x
  2. Step 2: Convert to fraction form
    209,848.67/289,590.71 = 114,355.14/x
  3. Step 3: Cross multiply
    209,848.67x = 289,590.71 × 114,355.14
  4. Step 4: Simplify right side
    209,848.67x = 33,116,186,184.75
  5. Step 5: Solve for x
    x = 33,116,186,184.75/209,848.67
  6. Step 6: Final answer
    x = 157,809.85

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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.