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Finding the Fourth Proportional to 163,957.24, 225,784.56 and 142,437.16

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Solution

The fourth proportional to 163,957.24, 225,784.56 and 142,437.16 is: 196,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,957.24 : 225,784.56 = 142,437.16 : x
  2. Step 2: Convert to fraction form
    163,957.24/225,784.56 = 142,437.16/x
  3. Step 3: Cross multiply
    163,957.24x = 225,784.56 × 142,437.16
  4. Step 4: Simplify right side
    163,957.24x = 32,160,111,498.25
  5. Step 5: Solve for x
    x = 32,160,111,498.25/163,957.24
  6. Step 6: Final answer
    x = 196,149.38

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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.