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Finding the Fourth Proportional to 250,977.34, 346,348.99 and 149,023.16

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Solution

The fourth proportional to 250,977.34, 346,348.99 and 149,023.16 is: 205,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,977.34 : 346,348.99 = 149,023.16 : x
  2. Step 2: Convert to fraction form
    250,977.34/346,348.99 = 149,023.16/x
  3. Step 3: Cross multiply
    250,977.34x = 346,348.99 × 149,023.16
  4. Step 4: Simplify right side
    250,977.34x = 51,614,020,952.61
  5. Step 5: Solve for x
    x = 51,614,020,952.61/250,977.34
  6. Step 6: Final answer
    x = 205,652.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.