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Finding the Fourth Proportional to 176,070.30, 264,142.23 and 57,732.30

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Solution

The fourth proportional to 176,070.30, 264,142.23 and 57,732.30 is: 86,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,070.30 : 264,142.23 = 57,732.30 : x
  2. Step 2: Convert to fraction form
    176,070.30/264,142.23 = 57,732.30/x
  3. Step 3: Cross multiply
    176,070.30x = 264,142.23 × 57,732.30
  4. Step 4: Simplify right side
    176,070.30x = 15,249,538,465.03
  5. Step 5: Solve for x
    x = 15,249,538,465.03/176,070.30
  6. Step 6: Final answer
    x = 86,610.51

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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.