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Finding the Fourth Proportional to 100,918.40, 151,158.90 and 83,422.40

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Solution

The fourth proportional to 100,918.40, 151,158.90 and 83,422.40 is: 124,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,918.40 : 151,158.90 = 83,422.40 : x
  2. Step 2: Convert to fraction form
    100,918.40/151,158.90 = 83,422.40/x
  3. Step 3: Cross multiply
    100,918.40x = 151,158.90 × 83,422.40
  4. Step 4: Simplify right side
    100,918.40x = 12,610,038,219.36
  5. Step 5: Solve for x
    x = 12,610,038,219.36/100,918.40
  6. Step 6: Final answer
    x = 124,952.82

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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.