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Finding the Fourth Proportional to 238,250.64, 328,802.64 and 157,537.92

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Solution

The fourth proportional to 238,250.64, 328,802.64 and 157,537.92 is: 217,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,250.64 : 328,802.64 = 157,537.92 : x
  2. Step 2: Convert to fraction form
    238,250.64/328,802.64 = 157,537.92/x
  3. Step 3: Cross multiply
    238,250.64x = 328,802.64 × 157,537.92
  4. Step 4: Simplify right side
    238,250.64x = 51,798,883,996.11
  5. Step 5: Solve for x
    x = 51,798,883,996.11/238,250.64
  6. Step 6: Final answer
    x = 217,413.41

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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.