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Finding the Fourth Proportional to 275,178.16, 412,808.28 and 97,670.32

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Solution

The fourth proportional to 275,178.16, 412,808.28 and 97,670.32 is: 146,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,178.16 : 412,808.28 = 97,670.32 : x
  2. Step 2: Convert to fraction form
    275,178.16/412,808.28 = 97,670.32/x
  3. Step 3: Cross multiply
    275,178.16x = 412,808.28 × 97,670.32
  4. Step 4: Simplify right side
    275,178.16x = 40,319,116,806.25
  5. Step 5: Solve for x
    x = 40,319,116,806.25/275,178.16
  6. Step 6: Final answer
    x = 146,520.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.