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Finding the Fourth Proportional to 286,099.88, 429,164.38 and 96,567.16

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Solution

The fourth proportional to 286,099.88, 429,164.38 and 96,567.16 is: 144,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,099.88 : 429,164.38 = 96,567.16 : x
  2. Step 2: Convert to fraction form
    286,099.88/429,164.38 = 96,567.16/x
  3. Step 3: Cross multiply
    286,099.88x = 429,164.38 × 96,567.16
  4. Step 4: Simplify right side
    286,099.88x = 41,443,185,349.76
  5. Step 5: Solve for x
    x = 41,443,185,349.76/286,099.88
  6. Step 6: Final answer
    x = 144,855.65

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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.