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Finding the Fourth Proportional to 238,324.02, 328,893.12 and 130,904.16

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Solution

The fourth proportional to 238,324.02, 328,893.12 and 130,904.16 is: 180,651.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,324.02 : 328,893.12 = 130,904.16 : x
  2. Step 2: Convert to fraction form
    238,324.02/328,893.12 = 130,904.16/x
  3. Step 3: Cross multiply
    238,324.02x = 328,893.12 × 130,904.16
  4. Step 4: Simplify right side
    238,324.02x = 43,053,477,603.38
  5. Step 5: Solve for x
    x = 43,053,477,603.38/238,324.02
  6. Step 6: Final answer
    x = 180,651.02

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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.