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Finding the Fourth Proportional to 191,354.70, 286,902.45 and 101,412.30

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Solution

The fourth proportional to 191,354.70, 286,902.45 and 101,412.30 is: 152,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,354.70 : 286,902.45 = 101,412.30 : x
  2. Step 2: Convert to fraction form
    191,354.70/286,902.45 = 101,412.30/x
  3. Step 3: Cross multiply
    191,354.70x = 286,902.45 × 101,412.30
  4. Step 4: Simplify right side
    191,354.70x = 29,095,437,330.14
  5. Step 5: Solve for x
    x = 29,095,437,330.14/191,354.70
  6. Step 6: Final answer
    x = 152,049.77

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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.