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Finding the Fourth Proportional to 176,308.32, 264,470.96 and 57,977.04

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Solution

The fourth proportional to 176,308.32, 264,470.96 and 57,977.04 is: 86,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,308.32 : 264,470.96 = 57,977.04 : x
  2. Step 2: Convert to fraction form
    176,308.32/264,470.96 = 57,977.04/x
  3. Step 3: Cross multiply
    176,308.32x = 264,470.96 × 57,977.04
  4. Step 4: Simplify right side
    176,308.32x = 15,333,243,426.76
  5. Step 5: Solve for x
    x = 15,333,243,426.76/176,308.32
  6. Step 6: Final answer
    x = 86,968.35

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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.