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Finding the Fourth Proportional to 119,046.40, 178,569.42 and 48,876.28

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Solution

The fourth proportional to 119,046.40, 178,569.42 and 48,876.28 is: 73,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,046.40 : 178,569.42 = 48,876.28 : x
  2. Step 2: Convert to fraction form
    119,046.40/178,569.42 = 48,876.28/x
  3. Step 3: Cross multiply
    119,046.40x = 178,569.42 × 48,876.28
  4. Step 4: Simplify right side
    119,046.40x = 8,727,808,971.36
  5. Step 5: Solve for x
    x = 8,727,808,971.36/119,046.40
  6. Step 6: Final answer
    x = 73,314.35

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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.