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Finding the Fourth Proportional to 209,365.52, 288,918.24 and 118,729.76

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Solution

The fourth proportional to 209,365.52, 288,918.24 and 118,729.76 is: 163,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,365.52 : 288,918.24 = 118,729.76 : x
  2. Step 2: Convert to fraction form
    209,365.52/288,918.24 = 118,729.76/x
  3. Step 3: Cross multiply
    209,365.52x = 288,918.24 × 118,729.76
  4. Step 4: Simplify right side
    209,365.52x = 34,303,193,294.82
  5. Step 5: Solve for x
    x = 34,303,193,294.82/209,365.52
  6. Step 6: Final answer
    x = 163,843.57

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1.5x scale

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.