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Finding the Fourth Proportional to 191,807.76, 287,794.53 and 102,957.39

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Solution

The fourth proportional to 191,807.76, 287,794.53 and 102,957.39 is: 154,480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,807.76 : 287,794.53 = 102,957.39 : x
  2. Step 2: Convert to fraction form
    191,807.76/287,794.53 = 102,957.39/x
  3. Step 3: Cross multiply
    191,807.76x = 287,794.53 × 102,957.39
  4. Step 4: Simplify right side
    191,807.76x = 29,630,573,665.08
  5. Step 5: Solve for x
    x = 29,630,573,665.08/191,807.76
  6. Step 6: Final answer
    x = 154,480.58

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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.