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Finding the Fourth Proportional to 174,366, 261,551.43 and 49,707

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Solution

The fourth proportional to 174,366, 261,551.43 and 49,707 is: 74,561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,366 : 261,551.43 = 49,707 : x
  2. Step 2: Convert to fraction form
    174,366/261,551.43 = 49,707/x
  3. Step 3: Cross multiply
    174,366x = 261,551.43 × 49,707
  4. Step 4: Simplify right side
    174,366x = 13,000,936,931.01
  5. Step 5: Solve for x
    x = 13,000,936,931.01/174,366
  6. Step 6: Final answer
    x = 74,561.19

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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.