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Finding the Fourth Proportional to 176,038.40, 264,057.60 and 57,721.70

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Solution

The fourth proportional to 176,038.40, 264,057.60 and 57,721.70 is: 86,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,038.40 : 264,057.60 = 57,721.70 : x
  2. Step 2: Convert to fraction form
    176,038.40/264,057.60 = 57,721.70/x
  3. Step 3: Cross multiply
    176,038.40x = 264,057.60 × 57,721.70
  4. Step 4: Simplify right side
    176,038.40x = 15,241,853,569.92
  5. Step 5: Solve for x
    x = 15,241,853,569.92/176,038.40
  6. Step 6: Final answer
    x = 86,582.55

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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.