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Finding the Fourth Proportional to 176,079.20, 264,118.80 and 51,420.20

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Solution

The fourth proportional to 176,079.20, 264,118.80 and 51,420.20 is: 77,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,079.20 : 264,118.80 = 51,420.20 : x
  2. Step 2: Convert to fraction form
    176,079.20/264,118.80 = 51,420.20/x
  3. Step 3: Cross multiply
    176,079.20x = 264,118.80 × 51,420.20
  4. Step 4: Simplify right side
    176,079.20x = 13,581,041,519.76
  5. Step 5: Solve for x
    x = 13,581,041,519.76/176,079.20
  6. Step 6: Final answer
    x = 77,130.30

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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.