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Finding the Fourth Proportional to 182,406.32, 272,289.64 and 157,605.92

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Solution

The fourth proportional to 182,406.32, 272,289.64 and 157,605.92 is: 235,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,406.32 : 272,289.64 = 157,605.92 : x
  2. Step 2: Convert to fraction form
    182,406.32/272,289.64 = 157,605.92/x
  3. Step 3: Cross multiply
    182,406.32x = 272,289.64 × 157,605.92
  4. Step 4: Simplify right side
    182,406.32x = 42,914,459,218.67
  5. Step 5: Solve for x
    x = 42,914,459,218.67/182,406.32
  6. Step 6: Final answer
    x = 235,268.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.