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Finding the Fourth Proportional to 223,287.92, 307,829.40 and 178,119.12

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Solution

The fourth proportional to 223,287.92, 307,829.40 and 178,119.12 is: 245,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,287.92 : 307,829.40 = 178,119.12 : x
  2. Step 2: Convert to fraction form
    223,287.92/307,829.40 = 178,119.12/x
  3. Step 3: Cross multiply
    223,287.92x = 307,829.40 × 178,119.12
  4. Step 4: Simplify right side
    223,287.92x = 54,830,301,838.13
  5. Step 5: Solve for x
    x = 54,830,301,838.13/223,287.92
  6. Step 6: Final answer
    x = 245,558.75

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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.