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Finding the Fourth Proportional to 208,957.26, 288,361 and 119,533.26

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Solution

The fourth proportional to 208,957.26, 288,361 and 119,533.26 is: 164,955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,957.26 : 288,361 = 119,533.26 : x
  2. Step 2: Convert to fraction form
    208,957.26/288,361 = 119,533.26/x
  3. Step 3: Cross multiply
    208,957.26x = 288,361 × 119,533.26
  4. Step 4: Simplify right side
    208,957.26x = 34,468,730,386.86
  5. Step 5: Solve for x
    x = 34,468,730,386.86/208,957.26
  6. Step 6: Final answer
    x = 164,955.89

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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.