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Finding the Fourth Proportional to 213,227.90, 319,840.25 and 86,838.42

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Solution

The fourth proportional to 213,227.90, 319,840.25 and 86,838.42 is: 130,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,227.90 : 319,840.25 = 86,838.42 : x
  2. Step 2: Convert to fraction form
    213,227.90/319,840.25 = 86,838.42/x
  3. Step 3: Cross multiply
    213,227.90x = 319,840.25 × 86,838.42
  4. Step 4: Simplify right side
    213,227.90x = 27,774,421,528.21
  5. Step 5: Solve for x
    x = 27,774,421,528.21/213,227.90
  6. Step 6: Final answer
    x = 130,256.98

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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.