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Finding the Fourth Proportional to 238,702.36, 329,459.52 and 151,430.80

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Solution

The fourth proportional to 238,702.36, 329,459.52 and 151,430.80 is: 209,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,702.36 : 329,459.52 = 151,430.80 : x
  2. Step 2: Convert to fraction form
    238,702.36/329,459.52 = 151,430.80/x
  3. Step 3: Cross multiply
    238,702.36x = 329,459.52 × 151,430.80
  4. Step 4: Simplify right side
    238,702.36x = 49,890,318,681.22
  5. Step 5: Solve for x
    x = 49,890,318,681.22/238,702.36
  6. Step 6: Final answer
    x = 209,006.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.