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Finding the Fourth Proportional to 223,798.14, 308,841.12 and 123,196.14

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Solution

The fourth proportional to 223,798.14, 308,841.12 and 123,196.14 is: 170,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,798.14 : 308,841.12 = 123,196.14 : x
  2. Step 2: Convert to fraction form
    223,798.14/308,841.12 = 123,196.14/x
  3. Step 3: Cross multiply
    223,798.14x = 308,841.12 × 123,196.14
  4. Step 4: Simplify right side
    223,798.14x = 38,048,033,857.28
  5. Step 5: Solve for x
    x = 38,048,033,857.28/223,798.14
  6. Step 6: Final answer
    x = 170,010.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.