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Finding the Fourth Proportional to 235,712.83, 353,371.20 and 191,229.25

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Solution

The fourth proportional to 235,712.83, 353,371.20 and 191,229.25 is: 286,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,712.83 : 353,371.20 = 191,229.25 : x
  2. Step 2: Convert to fraction form
    235,712.83/353,371.20 = 191,229.25/x
  3. Step 3: Cross multiply
    235,712.83x = 353,371.20 × 191,229.25
  4. Step 4: Simplify right side
    235,712.83x = 67,574,909,547.60
  5. Step 5: Solve for x
    x = 67,574,909,547.60/235,712.83
  6. Step 6: Final answer
    x = 286,683.20

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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.