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Finding the Fourth Proportional to 176,970.54, 265,393.28 and 57,022.70

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Solution

The fourth proportional to 176,970.54, 265,393.28 and 57,022.70 is: 85,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,970.54 : 265,393.28 = 57,022.70 : x
  2. Step 2: Convert to fraction form
    176,970.54/265,393.28 = 57,022.70/x
  3. Step 3: Cross multiply
    176,970.54x = 265,393.28 × 57,022.70
  4. Step 4: Simplify right side
    176,970.54x = 15,133,439,775.38
  5. Step 5: Solve for x
    x = 15,133,439,775.38/176,970.54
  6. Step 6: Final answer
    x = 85,513.89

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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.