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Finding the Fourth Proportional to 106,176.96, 146,393.28 and 97,253.28

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Solution

The fourth proportional to 106,176.96, 146,393.28 and 97,253.28 is: 134,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,176.96 : 146,393.28 = 97,253.28 : x
  2. Step 2: Convert to fraction form
    106,176.96/146,393.28 = 97,253.28/x
  3. Step 3: Cross multiply
    106,176.96x = 146,393.28 × 97,253.28
  4. Step 4: Simplify right side
    106,176.96x = 14,237,226,649.96
  5. Step 5: Solve for x
    x = 14,237,226,649.96/106,176.96
  6. Step 6: Final answer
    x = 134,089.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.