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Finding the Fourth Proportional to 209,842.84, 289,583.13 and 114,349.51

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Solution

The fourth proportional to 209,842.84, 289,583.13 and 114,349.51 is: 157,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,842.84 : 289,583.13 = 114,349.51 : x
  2. Step 2: Convert to fraction form
    209,842.84/289,583.13 = 114,349.51/x
  3. Step 3: Cross multiply
    209,842.84x = 289,583.13 × 114,349.51
  4. Step 4: Simplify right side
    209,842.84x = 33,113,689,019.77
  5. Step 5: Solve for x
    x = 33,113,689,019.77/209,842.84
  6. Step 6: Final answer
    x = 157,802.33

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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.