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Finding the Fourth Proportional to 191,632.65, 287,231 and 116,587.37

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Solution

The fourth proportional to 191,632.65, 287,231 and 116,587.37 is: 174,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,632.65 : 287,231 = 116,587.37 : x
  2. Step 2: Convert to fraction form
    191,632.65/287,231 = 116,587.37/x
  3. Step 3: Cross multiply
    191,632.65x = 287,231 × 116,587.37
  4. Step 4: Simplify right side
    191,632.65x = 33,487,506,872.47
  5. Step 5: Solve for x
    x = 33,487,506,872.47/191,632.65
  6. Step 6: Final answer
    x = 174,748.44

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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.