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Finding the Fourth Proportional to 171,409.50, 257,114.86 and 46,750.50

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Solution

The fourth proportional to 171,409.50, 257,114.86 and 46,750.50 is: 70,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,409.50 : 257,114.86 = 46,750.50 : x
  2. Step 2: Convert to fraction form
    171,409.50/257,114.86 = 46,750.50/x
  3. Step 3: Cross multiply
    171,409.50x = 257,114.86 × 46,750.50
  4. Step 4: Simplify right side
    171,409.50x = 12,020,248,145.55
  5. Step 5: Solve for x
    x = 12,020,248,145.55/171,409.50
  6. Step 6: Final answer
    x = 70,125.92

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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.