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Finding the Fourth Proportional to 137,894.64, 190,317.19 and 114,887.99

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Solution

The fourth proportional to 137,894.64, 190,317.19 and 114,887.99 is: 158,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,894.64 : 190,317.19 = 114,887.99 : x
  2. Step 2: Convert to fraction form
    137,894.64/190,317.19 = 114,887.99/x
  3. Step 3: Cross multiply
    137,894.64x = 190,317.19 × 114,887.99
  4. Step 4: Simplify right side
    137,894.64x = 21,865,159,421.55
  5. Step 5: Solve for x
    x = 21,865,159,421.55/137,894.64
  6. Step 6: Final answer
    x = 158,564.24

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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.