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Finding the Fourth Proportional to 169,364.78, 233,706.55 and 97,767.87

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Solution

The fourth proportional to 169,364.78, 233,706.55 and 97,767.87 is: 134,909.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,364.78 : 233,706.55 = 97,767.87 : x
  2. Step 2: Convert to fraction form
    169,364.78/233,706.55 = 97,767.87/x
  3. Step 3: Cross multiply
    169,364.78x = 233,706.55 × 97,767.87
  4. Step 4: Simplify right side
    169,364.78x = 22,848,990,844.36
  5. Step 5: Solve for x
    x = 22,848,990,844.36/169,364.78
  6. Step 6: Final answer
    x = 134,909.93

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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.