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Finding the Fourth Proportional to 119,832.78, 178,837.89 and 106,547.16

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Solution

The fourth proportional to 119,832.78, 178,837.89 and 106,547.16 is: 159,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,832.78 : 178,837.89 = 106,547.16 : x
  2. Step 2: Convert to fraction form
    119,832.78/178,837.89 = 106,547.16/x
  3. Step 3: Cross multiply
    119,832.78x = 178,837.89 × 106,547.16
  4. Step 4: Simplify right side
    119,832.78x = 19,054,669,279.89
  5. Step 5: Solve for x
    x = 19,054,669,279.89/119,832.78
  6. Step 6: Final answer
    x = 159,010.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.