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Finding the Fourth Proportional to 191,162.68, 286,705.54 and 181,678.40

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Solution

The fourth proportional to 191,162.68, 286,705.54 and 181,678.40 is: 272,481.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,162.68 : 286,705.54 = 181,678.40 : x
  2. Step 2: Convert to fraction form
    191,162.68/286,705.54 = 181,678.40/x
  3. Step 3: Cross multiply
    191,162.68x = 286,705.54 × 181,678.40
  4. Step 4: Simplify right side
    191,162.68x = 52,088,203,778.34
  5. Step 5: Solve for x
    x = 52,088,203,778.34/191,162.68
  6. Step 6: Final answer
    x = 272,481.03

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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.