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Finding the Fourth Proportional to 286,498.06, 429,479.98 and 96,825.80

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Solution

The fourth proportional to 286,498.06, 429,479.98 and 96,825.80 is: 145,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,498.06 : 429,479.98 = 96,825.80 : x
  2. Step 2: Convert to fraction form
    286,498.06/429,479.98 = 96,825.80/x
  3. Step 3: Cross multiply
    286,498.06x = 429,479.98 × 96,825.80
  4. Step 4: Simplify right side
    286,498.06x = 41,584,742,647.48
  5. Step 5: Solve for x
    x = 41,584,742,647.48/286,498.06
  6. Step 6: Final answer
    x = 145,148.43

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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.