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Finding the Fourth Proportional to 286,197.38, 429,296.06 and 108,703.94

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Solution

The fourth proportional to 286,197.38, 429,296.06 and 108,703.94 is: 163,055.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,197.38 : 429,296.06 = 108,703.94 : x
  2. Step 2: Convert to fraction form
    286,197.38/429,296.06 = 108,703.94/x
  3. Step 3: Cross multiply
    286,197.38x = 429,296.06 × 108,703.94
  4. Step 4: Simplify right side
    286,197.38x = 46,666,173,148.48
  5. Step 5: Solve for x
    x = 46,666,173,148.48/286,197.38
  6. Step 6: Final answer
    x = 163,055.91

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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.