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Finding the Fourth Proportional to 223,259, 308,097.54 and 122,663.48

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Solution

The fourth proportional to 223,259, 308,097.54 and 122,663.48 is: 169,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,259 : 308,097.54 = 122,663.48 : x
  2. Step 2: Convert to fraction form
    223,259/308,097.54 = 122,663.48/x
  3. Step 3: Cross multiply
    223,259x = 308,097.54 × 122,663.48
  4. Step 4: Simplify right side
    223,259x = 37,792,316,435.84
  5. Step 5: Solve for x
    x = 37,792,316,435.84/223,259
  6. Step 6: Final answer
    x = 169,275.67

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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.