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Finding the Fourth Proportional to 176,095.20, 264,142.80 and 51,436.20

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Solution

The fourth proportional to 176,095.20, 264,142.80 and 51,436.20 is: 77,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,095.20 : 264,142.80 = 51,436.20 : x
  2. Step 2: Convert to fraction form
    176,095.20/264,142.80 = 51,436.20/x
  3. Step 3: Cross multiply
    176,095.20x = 264,142.80 × 51,436.20
  4. Step 4: Simplify right side
    176,095.20x = 13,586,501,889.36
  5. Step 5: Solve for x
    x = 13,586,501,889.36/176,095.20
  6. Step 6: Final answer
    x = 77,154.30

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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.