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Finding the Fourth Proportional to 208,346.40, 287,497.44 and 116,448.48

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Solution

The fourth proportional to 208,346.40, 287,497.44 and 116,448.48 is: 160,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,346.40 : 287,497.44 = 116,448.48 : x
  2. Step 2: Convert to fraction form
    208,346.40/287,497.44 = 116,448.48/x
  3. Step 3: Cross multiply
    208,346.40x = 287,497.44 × 116,448.48
  4. Step 4: Simplify right side
    208,346.40x = 33,478,639,891.89
  5. Step 5: Solve for x
    x = 33,478,639,891.89/208,346.40
  6. Step 6: Final answer
    x = 160,687.39

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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.