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Finding the Fourth Proportional to 116,216.25, 160,405.80 and 70,931.67

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Solution

The fourth proportional to 116,216.25, 160,405.80 and 70,931.67 is: 97,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,216.25 : 160,405.80 = 70,931.67 : x
  2. Step 2: Convert to fraction form
    116,216.25/160,405.80 = 70,931.67/x
  3. Step 3: Cross multiply
    116,216.25x = 160,405.80 × 70,931.67
  4. Step 4: Simplify right side
    116,216.25x = 11,377,851,271.69
  5. Step 5: Solve for x
    x = 11,377,851,271.69/116,216.25
  6. Step 6: Final answer
    x = 97,902.41

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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.