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Finding the Fourth Proportional to 238,142.16, 328,635.03 and 130,714.02

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Solution

The fourth proportional to 238,142.16, 328,635.03 and 130,714.02 is: 180,384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,142.16 : 328,635.03 = 130,714.02 : x
  2. Step 2: Convert to fraction form
    238,142.16/328,635.03 = 130,714.02/x
  3. Step 3: Cross multiply
    238,142.16x = 328,635.03 × 130,714.02
  4. Step 4: Simplify right side
    238,142.16x = 42,957,205,884.12
  5. Step 5: Solve for x
    x = 42,957,205,884.12/238,142.16
  6. Step 6: Final answer
    x = 180,384.72

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