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Finding the Fourth Proportional to 191,809.71, 287,454.20 and 101,829.69

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Solution

The fourth proportional to 191,809.71, 287,454.20 and 101,829.69 is: 152,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,809.71 : 287,454.20 = 101,829.69 : x
  2. Step 2: Convert to fraction form
    191,809.71/287,454.20 = 101,829.69/x
  3. Step 3: Cross multiply
    191,809.71x = 287,454.20 × 101,829.69
  4. Step 4: Simplify right side
    191,809.71x = 29,271,371,566.05
  5. Step 5: Solve for x
    x = 29,271,371,566.05/191,809.71
  6. Step 6: Final answer
    x = 152,606.31

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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.