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Finding the Fourth Proportional to 208,254.64, 287,176.60 and 178,139.64

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Solution

The fourth proportional to 208,254.64, 287,176.60 and 178,139.64 is: 245,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,254.64 : 287,176.60 = 178,139.64 : x
  2. Step 2: Convert to fraction form
    208,254.64/287,176.60 = 178,139.64/x
  3. Step 3: Cross multiply
    208,254.64x = 287,176.60 × 178,139.64
  4. Step 4: Simplify right side
    208,254.64x = 51,157,536,140.42
  5. Step 5: Solve for x
    x = 51,157,536,140.42/208,254.64
  6. Step 6: Final answer
    x = 245,648.96

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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.