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Finding the Fourth Proportional to 185,402.34, 255,978.09 and 109,975.14

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Solution

The fourth proportional to 185,402.34, 255,978.09 and 109,975.14 is: 151,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,402.34 : 255,978.09 = 109,975.14 : x
  2. Step 2: Convert to fraction form
    185,402.34/255,978.09 = 109,975.14/x
  3. Step 3: Cross multiply
    185,402.34x = 255,978.09 × 109,975.14
  4. Step 4: Simplify right side
    185,402.34x = 28,151,226,284.68
  5. Step 5: Solve for x
    x = 28,151,226,284.68/185,402.34
  6. Step 6: Final answer
    x = 151,838.57

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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.