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Finding the Fourth Proportional to 160,904.16, 241,378.16 and 93,467.84

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Solution

The fourth proportional to 160,904.16, 241,378.16 and 93,467.84 is: 140,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,904.16 : 241,378.16 = 93,467.84 : x
  2. Step 2: Convert to fraction form
    160,904.16/241,378.16 = 93,467.84/x
  3. Step 3: Cross multiply
    160,904.16x = 241,378.16 × 93,467.84
  4. Step 4: Simplify right side
    160,904.16x = 22,561,095,238.37
  5. Step 5: Solve for x
    x = 22,561,095,238.37/160,904.16
  6. Step 6: Final answer
    x = 140,214.49

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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.