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Finding the Fourth Proportional to 270,798.14, 406,199.64 and 102,274.40

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Solution

The fourth proportional to 270,798.14, 406,199.64 and 102,274.40 is: 153,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,798.14 : 406,199.64 = 102,274.40 : x
  2. Step 2: Convert to fraction form
    270,798.14/406,199.64 = 102,274.40/x
  3. Step 3: Cross multiply
    270,798.14x = 406,199.64 × 102,274.40
  4. Step 4: Simplify right side
    270,798.14x = 41,543,824,461.22
  5. Step 5: Solve for x
    x = 41,543,824,461.22/270,798.14
  6. Step 6: Final answer
    x = 153,412.52

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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.