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Finding the Fourth Proportional to 270,605.76, 406,012.32 and 102,114.24

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Solution

The fourth proportional to 270,605.76, 406,012.32 and 102,114.24 is: 153,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,605.76 : 406,012.32 = 102,114.24 : x
  2. Step 2: Convert to fraction form
    270,605.76/406,012.32 = 102,114.24/x
  3. Step 3: Cross multiply
    270,605.76x = 406,012.32 × 102,114.24
  4. Step 4: Simplify right side
    270,605.76x = 41,459,639,487.44
  5. Step 5: Solve for x
    x = 41,459,639,487.44/270,605.76
  6. Step 6: Final answer
    x = 153,210.48

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1.5x scale

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.