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Finding the Fourth Proportional to 191,870.84, 264,778.40 and 105,837.68

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Solution

The fourth proportional to 191,870.84, 264,778.40 and 105,837.68 is: 146,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,870.84 : 264,778.40 = 105,837.68 : x
  2. Step 2: Convert to fraction form
    191,870.84/264,778.40 = 105,837.68/x
  3. Step 3: Cross multiply
    191,870.84x = 264,778.40 × 105,837.68
  4. Step 4: Simplify right side
    191,870.84x = 28,023,532,496.65
  5. Step 5: Solve for x
    x = 28,023,532,496.65/191,870.84
  6. Step 6: Final answer
    x = 146,054.15

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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.