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Finding the Fourth Proportional to 286,514.88, 429,958.81 and 109,023.36

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Solution

The fourth proportional to 286,514.88, 429,958.81 and 109,023.36 is: 163,606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,514.88 : 429,958.81 = 109,023.36 : x
  2. Step 2: Convert to fraction form
    286,514.88/429,958.81 = 109,023.36/x
  3. Step 3: Cross multiply
    286,514.88x = 429,958.81 × 109,023.36
  4. Step 4: Simplify right side
    286,514.88x = 46,875,554,127.80
  5. Step 5: Solve for x
    x = 46,875,554,127.80/286,514.88
  6. Step 6: Final answer
    x = 163,606.00

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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.