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Finding the Fourth Proportional to 191,457.69, 287,363.85 and 96,754.50

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Solution

The fourth proportional to 191,457.69, 287,363.85 and 96,754.50 is: 145,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,457.69 : 287,363.85 = 96,754.50 : x
  2. Step 2: Convert to fraction form
    191,457.69/287,363.85 = 96,754.50/x
  3. Step 3: Cross multiply
    191,457.69x = 287,363.85 × 96,754.50
  4. Step 4: Simplify right side
    191,457.69x = 27,803,745,624.83
  5. Step 5: Solve for x
    x = 27,803,745,624.83/191,457.69
  6. Step 6: Final answer
    x = 145,221.36

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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.