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Finding the Fourth Proportional to 208,594.68, 287,842.86 and 117,946.20

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Solution

The fourth proportional to 208,594.68, 287,842.86 and 117,946.20 is: 162,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,594.68 : 287,842.86 = 117,946.20 : x
  2. Step 2: Convert to fraction form
    208,594.68/287,842.86 = 117,946.20/x
  3. Step 3: Cross multiply
    208,594.68x = 287,842.86 × 117,946.20
  4. Step 4: Simplify right side
    208,594.68x = 33,949,971,534.13
  5. Step 5: Solve for x
    x = 33,949,971,534.13/208,594.68
  6. Step 6: Final answer
    x = 162,755.69

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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.