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Finding the Fourth Proportional to 106,953.54, 160,350.80 and 64,823.28

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Solution

The fourth proportional to 106,953.54, 160,350.80 and 64,823.28 is: 97,186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,953.54 : 160,350.80 = 64,823.28 : x
  2. Step 2: Convert to fraction form
    106,953.54/160,350.80 = 64,823.28/x
  3. Step 3: Cross multiply
    106,953.54x = 160,350.80 × 64,823.28
  4. Step 4: Simplify right side
    106,953.54x = 10,394,464,482.51
  5. Step 5: Solve for x
    x = 10,394,464,482.51/106,953.54
  6. Step 6: Final answer
    x = 97,186.73

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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.