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Finding the Fourth Proportional to 176,264.24, 264,133.83 and 97,401.02

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Solution

The fourth proportional to 176,264.24, 264,133.83 and 97,401.02 is: 145,956.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,264.24 : 264,133.83 = 97,401.02 : x
  2. Step 2: Convert to fraction form
    176,264.24/264,133.83 = 97,401.02/x
  3. Step 3: Cross multiply
    176,264.24x = 264,133.83 × 97,401.02
  4. Step 4: Simplify right side
    176,264.24x = 25,726,904,458.51
  5. Step 5: Solve for x
    x = 25,726,904,458.51/176,264.24
  6. Step 6: Final answer
    x = 145,956.46

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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.