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Finding the Fourth Proportional to 150,124.96, 207,148.08 and 83,044

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Solution

The fourth proportional to 150,124.96, 207,148.08 and 83,044 is: 114,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,124.96 : 207,148.08 = 83,044 : x
  2. Step 2: Convert to fraction form
    150,124.96/207,148.08 = 83,044/x
  3. Step 3: Cross multiply
    150,124.96x = 207,148.08 × 83,044
  4. Step 4: Simplify right side
    150,124.96x = 17,202,405,155.52
  5. Step 5: Solve for x
    x = 17,202,405,155.52/150,124.96
  6. Step 6: Final answer
    x = 114,587.24

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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.