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Finding the Fourth Proportional to 178,395.12, 246,188.04 and 97,830

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Solution

The fourth proportional to 178,395.12, 246,188.04 and 97,830 is: 135,006.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,395.12 : 246,188.04 = 97,830 : x
  2. Step 2: Convert to fraction form
    178,395.12/246,188.04 = 97,830/x
  3. Step 3: Cross multiply
    178,395.12x = 246,188.04 × 97,830
  4. Step 4: Simplify right side
    178,395.12x = 24,084,575,953.20
  5. Step 5: Solve for x
    x = 24,084,575,953.20/178,395.12
  6. Step 6: Final answer
    x = 135,006.92

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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.