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Finding the Fourth Proportional to 176,584.70, 264,864.90 and 56,639.90

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Solution

The fourth proportional to 176,584.70, 264,864.90 and 56,639.90 is: 84,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,584.70 : 264,864.90 = 56,639.90 : x
  2. Step 2: Convert to fraction form
    176,584.70/264,864.90 = 56,639.90/x
  3. Step 3: Cross multiply
    176,584.70x = 264,864.90 × 56,639.90
  4. Step 4: Simplify right side
    176,584.70x = 15,001,921,449.51
  5. Step 5: Solve for x
    x = 15,001,921,449.51/176,584.70
  6. Step 6: Final answer
    x = 84,955.95

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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.