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Finding the Fourth Proportional to 314,181.39, 471,201.10 and 89,537.01

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Solution

The fourth proportional to 314,181.39, 471,201.10 and 89,537.01 is: 134,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,181.39 : 471,201.10 = 89,537.01 : x
  2. Step 2: Convert to fraction form
    314,181.39/471,201.10 = 89,537.01/x
  3. Step 3: Cross multiply
    314,181.39x = 471,201.10 × 89,537.01
  4. Step 4: Simplify right side
    314,181.39x = 42,189,937,602.71
  5. Step 5: Solve for x
    x = 42,189,937,602.71/314,181.39
  6. Step 6: Final answer
    x = 134,285.29

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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.