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Finding the Fourth Proportional to 157,711.94, 236,509.48 and 56,494.22

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Solution

The fourth proportional to 157,711.94, 236,509.48 and 56,494.22 is: 84,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,711.94 : 236,509.48 = 56,494.22 : x
  2. Step 2: Convert to fraction form
    157,711.94/236,509.48 = 56,494.22/x
  3. Step 3: Cross multiply
    157,711.94x = 236,509.48 × 56,494.22
  4. Step 4: Simplify right side
    157,711.94x = 13,361,418,495.86
  5. Step 5: Solve for x
    x = 13,361,418,495.86/157,711.94
  6. Step 6: Final answer
    x = 84,720.40

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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.