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Finding the Fourth Proportional to 176,468.16, 264,704.94 and 97,410.54

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Solution

The fourth proportional to 176,468.16, 264,704.94 and 97,410.54 is: 146,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,468.16 : 264,704.94 = 97,410.54 : x
  2. Step 2: Convert to fraction form
    176,468.16/264,704.94 = 97,410.54/x
  3. Step 3: Cross multiply
    176,468.16x = 264,704.94 × 97,410.54
  4. Step 4: Simplify right side
    176,468.16x = 25,785,051,146.07
  5. Step 5: Solve for x
    x = 25,785,051,146.07/176,468.16
  6. Step 6: Final answer
    x = 146,117.30

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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.