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Finding the Fourth Proportional to 171,841.80, 257,762.70 and 149,698.43

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Solution

The fourth proportional to 171,841.80, 257,762.70 and 149,698.43 is: 224,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,841.80 : 257,762.70 = 149,698.43 : x
  2. Step 2: Convert to fraction form
    171,841.80/257,762.70 = 149,698.43/x
  3. Step 3: Cross multiply
    171,841.80x = 257,762.70 × 149,698.43
  4. Step 4: Simplify right side
    171,841.80x = 38,586,671,502.56
  5. Step 5: Solve for x
    x = 38,586,671,502.56/171,841.80
  6. Step 6: Final answer
    x = 224,547.65

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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.