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Finding the Fourth Proportional to 295,035.32, 407,148.14 and 165,973.88

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Solution

The fourth proportional to 295,035.32, 407,148.14 and 165,973.88 is: 229,043.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,035.32 : 407,148.14 = 165,973.88 : x
  2. Step 2: Convert to fraction form
    295,035.32/407,148.14 = 165,973.88/x
  3. Step 3: Cross multiply
    295,035.32x = 407,148.14 × 165,973.88
  4. Step 4: Simplify right side
    295,035.32x = 67,575,957,963.39
  5. Step 5: Solve for x
    x = 67,575,957,963.39/295,035.32
  6. Step 6: Final answer
    x = 229,043.62

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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.