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Finding the Fourth Proportional to 107,101.68, 160,707.60 and 51,005.40

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Solution

The fourth proportional to 107,101.68, 160,707.60 and 51,005.40 is: 76,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,101.68 : 160,707.60 = 51,005.40 : x
  2. Step 2: Convert to fraction form
    107,101.68/160,707.60 = 51,005.40/x
  3. Step 3: Cross multiply
    107,101.68x = 160,707.60 × 51,005.40
  4. Step 4: Simplify right side
    107,101.68x = 8,196,955,421.04
  5. Step 5: Solve for x
    x = 8,196,955,421.04/107,101.68
  6. Step 6: Final answer
    x = 76,534.33

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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.