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Finding the Fourth Proportional to 116,137.17, 174,205.35 and 31,897.40

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Solution

The fourth proportional to 116,137.17, 174,205.35 and 31,897.40 is: 47,845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,137.17 : 174,205.35 = 31,897.40 : x
  2. Step 2: Convert to fraction form
    116,137.17/174,205.35 = 31,897.40/x
  3. Step 3: Cross multiply
    116,137.17x = 174,205.35 × 31,897.40
  4. Step 4: Simplify right side
    116,137.17x = 5,556,696,860.06
  5. Step 5: Solve for x
    x = 5,556,696,860.06/116,137.17
  6. Step 6: Final answer
    x = 47,845.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.