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Finding the Fourth Proportional to 238,083.53, 328,564.74 and 130,657.40

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Solution

The fourth proportional to 238,083.53, 328,564.74 and 130,657.40 is: 180,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,083.53 : 328,564.74 = 130,657.40 : x
  2. Step 2: Convert to fraction form
    238,083.53/328,564.74 = 130,657.40/x
  3. Step 3: Cross multiply
    238,083.53x = 328,564.74 × 130,657.40
  4. Step 4: Simplify right side
    238,083.53x = 42,929,414,660.08
  5. Step 5: Solve for x
    x = 42,929,414,660.08/238,083.53
  6. Step 6: Final answer
    x = 180,312.41

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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.