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Finding the Fourth Proportional to 235,267.60, 352,901.40 and 208,829.20

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Solution

The fourth proportional to 235,267.60, 352,901.40 and 208,829.20 is: 313,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,267.60 : 352,901.40 = 208,829.20 : x
  2. Step 2: Convert to fraction form
    235,267.60/352,901.40 = 208,829.20/x
  3. Step 3: Cross multiply
    235,267.60x = 352,901.40 × 208,829.20
  4. Step 4: Simplify right side
    235,267.60x = 73,696,117,040.88
  5. Step 5: Solve for x
    x = 73,696,117,040.88/235,267.60
  6. Step 6: Final answer
    x = 313,243.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.