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Finding the Fourth Proportional to 176,031.10, 264,046.65 and 160,824.70

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Solution

The fourth proportional to 176,031.10, 264,046.65 and 160,824.70 is: 241,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,031.10 : 264,046.65 = 160,824.70 : x
  2. Step 2: Convert to fraction form
    176,031.10/264,046.65 = 160,824.70/x
  3. Step 3: Cross multiply
    176,031.10x = 264,046.65 × 160,824.70
  4. Step 4: Simplify right side
    176,031.10x = 42,465,223,272.26
  5. Step 5: Solve for x
    x = 42,465,223,272.26/176,031.10
  6. Step 6: Final answer
    x = 241,237.05

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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.