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Finding the Fourth Proportional to 191,814.21, 287,460.95 and 101,834.19

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Solution

The fourth proportional to 191,814.21, 287,460.95 and 101,834.19 is: 152,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,814.21 : 287,460.95 = 101,834.19 : x
  2. Step 2: Convert to fraction form
    191,814.21/287,460.95 = 101,834.19/x
  3. Step 3: Cross multiply
    191,814.21x = 287,460.95 × 101,834.19
  4. Step 4: Simplify right side
    191,814.21x = 29,273,352,490.71
  5. Step 5: Solve for x
    x = 29,273,352,490.71/191,814.21
  6. Step 6: Final answer
    x = 152,613.05

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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.