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Finding the Fourth Proportional to 314,004.90, 471,116.70 and 136,639.20

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Solution

The fourth proportional to 314,004.90, 471,116.70 and 136,639.20 is: 205,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,004.90 : 471,116.70 = 136,639.20 : x
  2. Step 2: Convert to fraction form
    314,004.90/471,116.70 = 136,639.20/x
  3. Step 3: Cross multiply
    314,004.90x = 471,116.70 × 136,639.20
  4. Step 4: Simplify right side
    314,004.90x = 64,373,008,994.64
  5. Step 5: Solve for x
    x = 64,373,008,994.64/314,004.90
  6. Step 6: Final answer
    x = 205,006.38

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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.