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Finding the Fourth Proportional to 531,527.25, 797,293.76 and 137,543.25

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Solution

The fourth proportional to 531,527.25, 797,293.76 and 137,543.25 is: 206,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,527.25 : 797,293.76 = 137,543.25 : x
  2. Step 2: Convert to fraction form
    531,527.25/797,293.76 = 137,543.25/x
  3. Step 3: Cross multiply
    531,527.25x = 797,293.76 × 137,543.25
  4. Step 4: Simplify right side
    531,527.25x = 109,662,374,267.40
  5. Step 5: Solve for x
    x = 109,662,374,267.40/531,527.25
  6. Step 6: Final answer
    x = 206,315.62

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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.