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Finding the Fourth Proportional to 107,462.64, 148,370.76 and 96,096.72

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Solution

The fourth proportional to 107,462.64, 148,370.76 and 96,096.72 is: 132,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,462.64 : 148,370.76 = 96,096.72 : x
  2. Step 2: Convert to fraction form
    107,462.64/148,370.76 = 96,096.72/x
  3. Step 3: Cross multiply
    107,462.64x = 148,370.76 × 96,096.72
  4. Step 4: Simplify right side
    107,462.64x = 14,257,943,379.91
  5. Step 5: Solve for x
    x = 14,257,943,379.91/107,462.64
  6. Step 6: Final answer
    x = 132,678.14

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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.