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Finding the Fourth Proportional to 176,031.80, 264,047.70 and 101,382.20

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Solution

The fourth proportional to 176,031.80, 264,047.70 and 101,382.20 is: 152,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,031.80 : 264,047.70 = 101,382.20 : x
  2. Step 2: Convert to fraction form
    176,031.80/264,047.70 = 101,382.20/x
  3. Step 3: Cross multiply
    176,031.80x = 264,047.70 × 101,382.20
  4. Step 4: Simplify right side
    176,031.80x = 26,769,736,730.94
  5. Step 5: Solve for x
    x = 26,769,736,730.94/176,031.80
  6. Step 6: Final answer
    x = 152,073.30

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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.