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Finding the Fourth Proportional to 286,141.36, 429,257.22 and 86,436.94

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Solution

The fourth proportional to 286,141.36, 429,257.22 and 86,436.94 is: 129,669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,141.36 : 429,257.22 = 86,436.94 : x
  2. Step 2: Convert to fraction form
    286,141.36/429,257.22 = 86,436.94/x
  3. Step 3: Cross multiply
    286,141.36x = 429,257.22 × 86,436.94
  4. Step 4: Simplify right side
    286,141.36x = 37,103,680,569.71
  5. Step 5: Solve for x
    x = 37,103,680,569.71/286,141.36
  6. Step 6: Final answer
    x = 129,669.06

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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.