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Finding the Fourth Proportional to 176,031.60, 264,047.40 and 160,825.20

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Solution

The fourth proportional to 176,031.60, 264,047.40 and 160,825.20 is: 241,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,031.60 : 264,047.40 = 160,825.20 : x
  2. Step 2: Convert to fraction form
    176,031.60/264,047.40 = 160,825.20/x
  3. Step 3: Cross multiply
    176,031.60x = 264,047.40 × 160,825.20
  4. Step 4: Simplify right side
    176,031.60x = 42,465,475,914.48
  5. Step 5: Solve for x
    x = 42,465,475,914.48/176,031.60
  6. Step 6: Final answer
    x = 241,237.80

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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.