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Finding the Fourth Proportional to 209,973.12, 289,809.72 and 133,477.26

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Solution

The fourth proportional to 209,973.12, 289,809.72 and 133,477.26 is: 184,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,973.12 : 289,809.72 = 133,477.26 : x
  2. Step 2: Convert to fraction form
    209,973.12/289,809.72 = 133,477.26/x
  3. Step 3: Cross multiply
    209,973.12x = 289,809.72 × 133,477.26
  4. Step 4: Simplify right side
    209,973.12x = 38,683,007,346.97
  5. Step 5: Solve for x
    x = 38,683,007,346.97/209,973.12
  6. Step 6: Final answer
    x = 184,228.38

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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.