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Finding the Fourth Proportional to 116,289.90, 160,478 and 65,303.04

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Solution

The fourth proportional to 116,289.90, 160,478 and 65,303.04 is: 90,117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,289.90 : 160,478 = 65,303.04 : x
  2. Step 2: Convert to fraction form
    116,289.90/160,478 = 65,303.04/x
  3. Step 3: Cross multiply
    116,289.90x = 160,478 × 65,303.04
  4. Step 4: Simplify right side
    116,289.90x = 10,479,701,253.12
  5. Step 5: Solve for x
    x = 10,479,701,253.12/116,289.90
  6. Step 6: Final answer
    x = 90,117.04

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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.