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Finding the Fourth Proportional to 157,953.86, 236,836.12 and 72,457.66

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Solution

The fourth proportional to 157,953.86, 236,836.12 and 72,457.66 is: 108,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,953.86 : 236,836.12 = 72,457.66 : x
  2. Step 2: Convert to fraction form
    157,953.86/236,836.12 = 72,457.66/x
  3. Step 3: Cross multiply
    157,953.86x = 236,836.12 × 72,457.66
  4. Step 4: Simplify right side
    157,953.86x = 17,160,591,058.68
  5. Step 5: Solve for x
    x = 17,160,591,058.68/157,953.86
  6. Step 6: Final answer
    x = 108,643.06

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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.