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Finding the Fourth Proportional to 163,923.93, 245,801.30 and 75,101.31

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Solution

The fourth proportional to 163,923.93, 245,801.30 and 75,101.31 is: 112,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,923.93 : 245,801.30 = 75,101.31 : x
  2. Step 2: Convert to fraction form
    163,923.93/245,801.30 = 75,101.31/x
  3. Step 3: Cross multiply
    163,923.93x = 245,801.30 × 75,101.31
  4. Step 4: Simplify right side
    163,923.93x = 18,459,999,254.20
  5. Step 5: Solve for x
    x = 18,459,999,254.20/163,923.93
  6. Step 6: Final answer
    x = 112,613.21

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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.