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Finding the Fourth Proportional to 166,038.12, 229,130.82 and 90,585

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Solution

The fourth proportional to 166,038.12, 229,130.82 and 90,585 is: 125,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,038.12 : 229,130.82 = 90,585 : x
  2. Step 2: Convert to fraction form
    166,038.12/229,130.82 = 90,585/x
  3. Step 3: Cross multiply
    166,038.12x = 229,130.82 × 90,585
  4. Step 4: Simplify right side
    166,038.12x = 20,755,815,329.70
  5. Step 5: Solve for x
    x = 20,755,815,329.70/166,038.12
  6. Step 6: Final answer
    x = 125,006.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.