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Finding the Fourth Proportional to 171,698.42, 257,543.70 and 45,347.57

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Solution

The fourth proportional to 171,698.42, 257,543.70 and 45,347.57 is: 68,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,698.42 : 257,543.70 = 45,347.57 : x
  2. Step 2: Convert to fraction form
    171,698.42/257,543.70 = 45,347.57/x
  3. Step 3: Cross multiply
    171,698.42x = 257,543.70 × 45,347.57
  4. Step 4: Simplify right side
    171,698.42x = 11,678,980,963.81
  5. Step 5: Solve for x
    x = 11,678,980,963.81/171,698.42
  6. Step 6: Final answer
    x = 68,020.32

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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.