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Finding the Fourth Proportional to 176,160, 264,240 and 51,501

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Solution

The fourth proportional to 176,160, 264,240 and 51,501 is: 77,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,160 : 264,240 = 51,501 : x
  2. Step 2: Convert to fraction form
    176,160/264,240 = 51,501/x
  3. Step 3: Cross multiply
    176,160x = 264,240 × 51,501
  4. Step 4: Simplify right side
    176,160x = 13,608,624,240
  5. Step 5: Solve for x
    x = 13,608,624,240/176,160
  6. Step 6: Final answer
    x = 77,251.50

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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.