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Finding the Fourth Proportional to 238,606.52, 357,891.16 and 138,702.98

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Solution

The fourth proportional to 238,606.52, 357,891.16 and 138,702.98 is: 208,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,606.52 : 357,891.16 = 138,702.98 : x
  2. Step 2: Convert to fraction form
    238,606.52/357,891.16 = 138,702.98/x
  3. Step 3: Cross multiply
    238,606.52x = 357,891.16 × 138,702.98
  4. Step 4: Simplify right side
    238,606.52x = 49,640,570,955.63
  5. Step 5: Solve for x
    x = 49,640,570,955.63/238,606.52
  6. Step 6: Final answer
    x = 208,043.65

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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.