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Finding the Fourth Proportional to 166,259, 229,438.64 and 90,807.50

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Solution

The fourth proportional to 166,259, 229,438.64 and 90,807.50 is: 125,315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,259 : 229,438.64 = 90,807.50 : x
  2. Step 2: Convert to fraction form
    166,259/229,438.64 = 90,807.50/x
  3. Step 3: Cross multiply
    166,259x = 229,438.64 × 90,807.50
  4. Step 4: Simplify right side
    166,259x = 20,834,749,301.80
  5. Step 5: Solve for x
    x = 20,834,749,301.80/166,259
  6. Step 6: Final answer
    x = 125,315.02

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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.