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Finding the Fourth Proportional to 208,294.22, 287,448.81 and 116,409.47

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Solution

The fourth proportional to 208,294.22, 287,448.81 and 116,409.47 is: 160,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,294.22 : 287,448.81 = 116,409.47 : x
  2. Step 2: Convert to fraction form
    208,294.22/287,448.81 = 116,409.47/x
  3. Step 3: Cross multiply
    208,294.22x = 287,448.81 × 116,409.47
  4. Step 4: Simplify right side
    208,294.22x = 33,461,763,624.23
  5. Step 5: Solve for x
    x = 33,461,763,624.23/208,294.22
  6. Step 6: Final answer
    x = 160,646.63

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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.