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Finding the Fourth Proportional to 209,842.52, 289,582.72 and 114,349.22

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Solution

The fourth proportional to 209,842.52, 289,582.72 and 114,349.22 is: 157,801.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,842.52 : 289,582.72 = 114,349.22 : x
  2. Step 2: Convert to fraction form
    209,842.52/289,582.72 = 114,349.22/x
  3. Step 3: Cross multiply
    209,842.52x = 289,582.72 × 114,349.22
  4. Step 4: Simplify right side
    209,842.52x = 33,113,557,831.23
  5. Step 5: Solve for x
    x = 33,113,557,831.23/209,842.52
  6. Step 6: Final answer
    x = 157,801.94

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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.