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Finding the Fourth Proportional to 531,525, 797,290.38 and 137,541

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Solution

The fourth proportional to 531,525, 797,290.38 and 137,541 is: 206,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,525 : 797,290.38 = 137,541 : x
  2. Step 2: Convert to fraction form
    531,525/797,290.38 = 137,541/x
  3. Step 3: Cross multiply
    531,525x = 797,290.38 × 137,541
  4. Step 4: Simplify right side
    531,525x = 109,660,116,155.58
  5. Step 5: Solve for x
    x = 109,660,116,155.58/531,525
  6. Step 6: Final answer
    x = 206,312.25

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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.