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Finding the Fourth Proportional to 191,888.16, 264,806.69 and 105,850.16

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Solution

The fourth proportional to 191,888.16, 264,806.69 and 105,850.16 is: 146,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,888.16 : 264,806.69 = 105,850.16 : x
  2. Step 2: Convert to fraction form
    191,888.16/264,806.69 = 105,850.16/x
  3. Step 3: Cross multiply
    191,888.16x = 264,806.69 × 105,850.16
  4. Step 4: Simplify right side
    191,888.16x = 28,029,828,652.29
  5. Step 5: Solve for x
    x = 28,029,828,652.29/191,888.16
  6. Step 6: Final answer
    x = 146,073.78

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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.