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Finding the Fourth Proportional to 176,150.80, 264,031.80 and 97,321.60

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Solution

The fourth proportional to 176,150.80, 264,031.80 and 97,321.60 is: 145,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,150.80 : 264,031.80 = 97,321.60 : x
  2. Step 2: Convert to fraction form
    176,150.80/264,031.80 = 97,321.60/x
  3. Step 3: Cross multiply
    176,150.80x = 264,031.80 × 97,321.60
  4. Step 4: Simplify right side
    176,150.80x = 25,695,997,226.88
  5. Step 5: Solve for x
    x = 25,695,997,226.88/176,150.80
  6. Step 6: Final answer
    x = 145,875.00

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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.