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Finding the Fourth Proportional to 286,521.08, 429,781.02 and 76,159

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Solution

The fourth proportional to 286,521.08, 429,781.02 and 76,159 is: 114,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,521.08 : 429,781.02 = 76,159 : x
  2. Step 2: Convert to fraction form
    286,521.08/429,781.02 = 76,159/x
  3. Step 3: Cross multiply
    286,521.08x = 429,781.02 × 76,159
  4. Step 4: Simplify right side
    286,521.08x = 32,731,692,702.18
  5. Step 5: Solve for x
    x = 32,731,692,702.18/286,521.08
  6. Step 6: Final answer
    x = 114,238.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.