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Finding the Fourth Proportional to 209,343.48, 288,862.38 and 128,784.12

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Solution

The fourth proportional to 209,343.48, 288,862.38 and 128,784.12 is: 177,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,343.48 : 288,862.38 = 128,784.12 : x
  2. Step 2: Convert to fraction form
    209,343.48/288,862.38 = 128,784.12/x
  3. Step 3: Cross multiply
    209,343.48x = 288,862.38 × 128,784.12
  4. Step 4: Simplify right side
    209,343.48x = 37,200,887,409.41
  5. Step 5: Solve for x
    x = 37,200,887,409.41/209,343.48
  6. Step 6: Final answer
    x = 177,702.63

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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.