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Finding the Fourth Proportional to 144,543.66, 216,814.26 and 112,980.26

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Solution

The fourth proportional to 144,543.66, 216,814.26 and 112,980.26 is: 169,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,543.66 : 216,814.26 = 112,980.26 : x
  2. Step 2: Convert to fraction form
    144,543.66/216,814.26 = 112,980.26/x
  3. Step 3: Cross multiply
    144,543.66x = 216,814.26 × 112,980.26
  4. Step 4: Simplify right side
    144,543.66x = 24,495,731,466.51
  5. Step 5: Solve for x
    x = 24,495,731,466.51/144,543.66
  6. Step 6: Final answer
    x = 169,469.43

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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.