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Finding the Fourth Proportional to 191,797.55, 287,779.27 and 102,947.24

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Solution

The fourth proportional to 191,797.55, 287,779.27 and 102,947.24 is: 154,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,797.55 : 287,779.27 = 102,947.24 : x
  2. Step 2: Convert to fraction form
    191,797.55/287,779.27 = 102,947.24/x
  3. Step 3: Cross multiply
    191,797.55x = 287,779.27 × 102,947.24
  4. Step 4: Simplify right side
    191,797.55x = 29,626,081,575.71
  5. Step 5: Solve for x
    x = 29,626,081,575.71/191,797.55
  6. Step 6: Final answer
    x = 154,465.38

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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.