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Finding the Fourth Proportional to 116,465.71, 174,739.57 and 57,342.90

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Solution

The fourth proportional to 116,465.71, 174,739.57 and 57,342.90 is: 86,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,465.71 : 174,739.57 = 57,342.90 : x
  2. Step 2: Convert to fraction form
    116,465.71/174,739.57 = 57,342.90/x
  3. Step 3: Cross multiply
    116,465.71x = 174,739.57 × 57,342.90
  4. Step 4: Simplify right side
    116,465.71x = 10,020,073,688.55
  5. Step 5: Solve for x
    x = 10,020,073,688.55/116,465.71
  6. Step 6: Final answer
    x = 86,034.54

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Why These Related Problems?

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