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Finding the Fourth Proportional to 260,032.40, 390,340.20 and 201,129.20

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Solution

The fourth proportional to 260,032.40, 390,340.20 and 201,129.20 is: 301,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,032.40 : 390,340.20 = 201,129.20 : x
  2. Step 2: Convert to fraction form
    260,032.40/390,340.20 = 201,129.20/x
  3. Step 3: Cross multiply
    260,032.40x = 390,340.20 × 201,129.20
  4. Step 4: Simplify right side
    260,032.40x = 78,508,812,153.84
  5. Step 5: Solve for x
    x = 78,508,812,153.84/260,032.40
  6. Step 6: Final answer
    x = 301,919.35

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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.