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Finding the Fourth Proportional to 171,348.40, 257,022.54 and 46,689.40

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Solution

The fourth proportional to 171,348.40, 257,022.54 and 46,689.40 is: 70,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,348.40 : 257,022.54 = 46,689.40 : x
  2. Step 2: Convert to fraction form
    171,348.40/257,022.54 = 46,689.40/x
  3. Step 3: Cross multiply
    171,348.40x = 257,022.54 × 46,689.40
  4. Step 4: Simplify right side
    171,348.40x = 12,000,228,179.08
  5. Step 5: Solve for x
    x = 12,000,228,179.08/171,348.40
  6. Step 6: Final answer
    x = 70,034.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.