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Finding the Fourth Proportional to 213,881.38, 295,125.39 and 118,387.86

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Solution

The fourth proportional to 213,881.38, 295,125.39 and 118,387.86 is: 163,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,881.38 : 295,125.39 = 118,387.86 : x
  2. Step 2: Convert to fraction form
    213,881.38/295,125.39 = 118,387.86/x
  3. Step 3: Cross multiply
    213,881.38x = 295,125.39 × 118,387.86
  4. Step 4: Simplify right side
    213,881.38x = 34,939,263,353.77
  5. Step 5: Solve for x
    x = 34,939,263,353.77/213,881.38
  6. Step 6: Final answer
    x = 163,358.14

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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.