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Finding the Fourth Proportional to 191,456.36, 287,184.58 and 86,152.32

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Solution

The fourth proportional to 191,456.36, 287,184.58 and 86,152.32 is: 129,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,456.36 : 287,184.58 = 86,152.32 : x
  2. Step 2: Convert to fraction form
    191,456.36/287,184.58 = 86,152.32/x
  3. Step 3: Cross multiply
    191,456.36x = 287,184.58 × 86,152.32
  4. Step 4: Simplify right side
    191,456.36x = 24,741,617,835.23
  5. Step 5: Solve for x
    x = 24,741,617,835.23/191,456.36
  6. Step 6: Final answer
    x = 129,228.50

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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.