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Finding the Fourth Proportional to 146,054, 219,081.48 and 35,246

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Solution

The fourth proportional to 146,054, 219,081.48 and 35,246 is: 52,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,054 : 219,081.48 = 35,246 : x
  2. Step 2: Convert to fraction form
    146,054/219,081.48 = 35,246/x
  3. Step 3: Cross multiply
    146,054x = 219,081.48 × 35,246
  4. Step 4: Simplify right side
    146,054x = 7,721,745,844.08
  5. Step 5: Solve for x
    x = 7,721,745,844.08/146,054
  6. Step 6: Final answer
    x = 52,869.12

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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.