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Finding the Fourth Proportional to 200,735.40, 301,030.20 and 100,862.40

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Solution

The fourth proportional to 200,735.40, 301,030.20 and 100,862.40 is: 151,256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,735.40 : 301,030.20 = 100,862.40 : x
  2. Step 2: Convert to fraction form
    200,735.40/301,030.20 = 100,862.40/x
  3. Step 3: Cross multiply
    200,735.40x = 301,030.20 × 100,862.40
  4. Step 4: Simplify right side
    200,735.40x = 30,362,628,444.48
  5. Step 5: Solve for x
    x = 30,362,628,444.48/200,735.40
  6. Step 6: Final answer
    x = 151,256.97

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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.