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Finding the Fourth Proportional to 175,954.32, 243,017.49 and 119,267.28

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Solution

The fourth proportional to 175,954.32, 243,017.49 and 119,267.28 is: 164,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,954.32 : 243,017.49 = 119,267.28 : x
  2. Step 2: Convert to fraction form
    175,954.32/243,017.49 = 119,267.28/x
  3. Step 3: Cross multiply
    175,954.32x = 243,017.49 × 119,267.28
  4. Step 4: Simplify right side
    175,954.32x = 28,984,035,024.73
  5. Step 5: Solve for x
    x = 28,984,035,024.73/175,954.32
  6. Step 6: Final answer
    x = 164,724.77

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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.