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Finding the Fourth Proportional to 117,233.34, 161,763.74 and 69,478.98

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Solution

The fourth proportional to 117,233.34, 161,763.74 and 69,478.98 is: 95,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,233.34 : 161,763.74 = 69,478.98 : x
  2. Step 2: Convert to fraction form
    117,233.34/161,763.74 = 69,478.98/x
  3. Step 3: Cross multiply
    117,233.34x = 161,763.74 × 69,478.98
  4. Step 4: Simplify right side
    117,233.34x = 11,239,179,656.19
  5. Step 5: Solve for x
    x = 11,239,179,656.19/117,233.34
  6. Step 6: Final answer
    x = 95,870.17

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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.