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Finding the Fourth Proportional to 107,430.42, 161,148.78 and 51,276.42

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Solution

The fourth proportional to 107,430.42, 161,148.78 and 51,276.42 is: 76,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,430.42 : 161,148.78 = 51,276.42 : x
  2. Step 2: Convert to fraction form
    107,430.42/161,148.78 = 51,276.42/x
  3. Step 3: Cross multiply
    107,430.42x = 161,148.78 × 51,276.42
  4. Step 4: Simplify right side
    107,430.42x = 8,263,132,525.77
  5. Step 5: Solve for x
    x = 8,263,132,525.77/107,430.42
  6. Step 6: Final answer
    x = 76,916.13

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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.