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Finding the Fourth Proportional to 208,258.63, 287,182.11 and 178,143.64

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Solution

The fourth proportional to 208,258.63, 287,182.11 and 178,143.64 is: 245,654.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,258.63 : 287,182.11 = 178,143.64 : x
  2. Step 2: Convert to fraction form
    208,258.63/287,182.11 = 178,143.64/x
  3. Step 3: Cross multiply
    208,258.63x = 287,182.11 × 178,143.64
  4. Step 4: Simplify right side
    208,258.63x = 51,159,666,418.28
  5. Step 5: Solve for x
    x = 51,159,666,418.28/208,258.63
  6. Step 6: Final answer
    x = 245,654.48

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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.