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Finding the Fourth Proportional to 191,013, 286,519.50 and 59,685

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Solution

The fourth proportional to 191,013, 286,519.50 and 59,685 is: 89,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,013 : 286,519.50 = 59,685 : x
  2. Step 2: Convert to fraction form
    191,013/286,519.50 = 59,685/x
  3. Step 3: Cross multiply
    191,013x = 286,519.50 × 59,685
  4. Step 4: Simplify right side
    191,013x = 17,100,916,357.50
  5. Step 5: Solve for x
    x = 17,100,916,357.50/191,013
  6. Step 6: Final answer
    x = 89,527.50

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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.