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Finding the Fourth Proportional to 461,952.09, 692,993.73 and 142,130.43

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Solution

The fourth proportional to 461,952.09, 692,993.73 and 142,130.43 is: 213,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,952.09 : 692,993.73 = 142,130.43 : x
  2. Step 2: Convert to fraction form
    461,952.09/692,993.73 = 142,130.43/x
  3. Step 3: Cross multiply
    461,952.09x = 692,993.73 × 142,130.43
  4. Step 4: Simplify right side
    461,952.09x = 98,495,496,832.20
  5. Step 5: Solve for x
    x = 98,495,496,832.20/461,952.09
  6. Step 6: Final answer
    x = 213,215.83

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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.