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Finding the Fourth Proportional to 191,975.20, 287,833.20 and 102,032.80

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Solution

The fourth proportional to 191,975.20, 287,833.20 and 102,032.80 is: 152,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,975.20 : 287,833.20 = 102,032.80 : x
  2. Step 2: Convert to fraction form
    191,975.20/287,833.20 = 102,032.80/x
  3. Step 3: Cross multiply
    191,975.20x = 287,833.20 × 102,032.80
  4. Step 4: Simplify right side
    191,975.20x = 29,368,427,328.96
  5. Step 5: Solve for x
    x = 29,368,427,328.96/191,975.20
  6. Step 6: Final answer
    x = 152,980.32

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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.