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Finding the Fourth Proportional to 178,492.90, 246,319.20 and 97,918.36

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Solution

The fourth proportional to 178,492.90, 246,319.20 and 97,918.36 is: 135,126.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,492.90 : 246,319.20 = 97,918.36 : x
  2. Step 2: Convert to fraction form
    178,492.90/246,319.20 = 97,918.36/x
  3. Step 3: Cross multiply
    178,492.90x = 246,319.20 × 97,918.36
  4. Step 4: Simplify right side
    178,492.90x = 24,119,172,100.51
  5. Step 5: Solve for x
    x = 24,119,172,100.51/178,492.90
  6. Step 6: Final answer
    x = 135,126.79

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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.