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Finding the Fourth Proportional to 116,465.94, 174,739.90 and 57,343.13

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Solution

The fourth proportional to 116,465.94, 174,739.90 and 57,343.13 is: 86,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,465.94 : 174,739.90 = 57,343.13 : x
  2. Step 2: Convert to fraction form
    116,465.94/174,739.90 = 57,343.13/x
  3. Step 3: Cross multiply
    116,465.94x = 174,739.90 × 57,343.13
  4. Step 4: Simplify right side
    116,465.94x = 10,020,132,801.89
  5. Step 5: Solve for x
    x = 10,020,132,801.89/116,465.94
  6. Step 6: Final answer
    x = 86,034.88

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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.