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Finding the Fourth Proportional to 191,144.80, 286,717.20 and 97,832.80

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Solution

The fourth proportional to 191,144.80, 286,717.20 and 97,832.80 is: 146,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,144.80 : 286,717.20 = 97,832.80 : x
  2. Step 2: Convert to fraction form
    191,144.80/286,717.20 = 97,832.80/x
  3. Step 3: Cross multiply
    191,144.80x = 286,717.20 × 97,832.80
  4. Step 4: Simplify right side
    191,144.80x = 28,050,346,484.16
  5. Step 5: Solve for x
    x = 28,050,346,484.16/191,144.80
  6. Step 6: Final answer
    x = 146,749.20

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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.