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Finding the Fourth Proportional to 293,133.40, 439,633.64 and 148,893

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Solution

The fourth proportional to 293,133.40, 439,633.64 and 148,893 is: 223,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,133.40 : 439,633.64 = 148,893 : x
  2. Step 2: Convert to fraction form
    293,133.40/439,633.64 = 148,893/x
  3. Step 3: Cross multiply
    293,133.40x = 439,633.64 × 148,893
  4. Step 4: Simplify right side
    293,133.40x = 65,458,371,560.52
  5. Step 5: Solve for x
    x = 65,458,371,560.52/293,133.40
  6. Step 6: Final answer
    x = 223,305.74

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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.