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Finding the Fourth Proportional to 270,875.85, 406,092 and 102,300.48

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Solution

The fourth proportional to 270,875.85, 406,092 and 102,300.48 is: 153,366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,875.85 : 406,092 = 102,300.48 : x
  2. Step 2: Convert to fraction form
    270,875.85/406,092 = 102,300.48/x
  3. Step 3: Cross multiply
    270,875.85x = 406,092 × 102,300.48
  4. Step 4: Simplify right side
    270,875.85x = 41,543,406,524.16
  5. Step 5: Solve for x
    x = 41,543,406,524.16/270,875.85
  6. Step 6: Final answer
    x = 153,366.96

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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.