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Finding the Fourth Proportional to 171,364.14, 257,038.83 and 46,705.14

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Solution

The fourth proportional to 171,364.14, 257,038.83 and 46,705.14 is: 70,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,364.14 : 257,038.83 = 46,705.14 : x
  2. Step 2: Convert to fraction form
    171,364.14/257,038.83 = 46,705.14/x
  3. Step 3: Cross multiply
    171,364.14x = 257,038.83 × 46,705.14
  4. Step 4: Simplify right side
    171,364.14x = 12,005,034,540.59
  5. Step 5: Solve for x
    x = 12,005,034,540.59/171,364.14
  6. Step 6: Final answer
    x = 70,055.70

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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.