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Finding the Fourth Proportional to 176,420.40, 264,971.02 and 151,177.16

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Solution

The fourth proportional to 176,420.40, 264,971.02 and 151,177.16 is: 227,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,420.40 : 264,971.02 = 151,177.16 : x
  2. Step 2: Convert to fraction form
    176,420.40/264,971.02 = 151,177.16/x
  3. Step 3: Cross multiply
    176,420.40x = 264,971.02 × 151,177.16
  4. Step 4: Simplify right side
    176,420.40x = 40,057,566,285.90
  5. Step 5: Solve for x
    x = 40,057,566,285.90/176,420.40
  6. Step 6: Final answer
    x = 227,057.45

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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.