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Finding the Fourth Proportional to 537,140.88, 805,763.94 and 195,677.10

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Solution

The fourth proportional to 537,140.88, 805,763.94 and 195,677.10 is: 293,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,140.88 : 805,763.94 = 195,677.10 : x
  2. Step 2: Convert to fraction form
    537,140.88/805,763.94 = 195,677.10/x
  3. Step 3: Cross multiply
    537,140.88x = 805,763.94 × 195,677.10
  4. Step 4: Simplify right side
    537,140.88x = 157,669,551,063.77
  5. Step 5: Solve for x
    x = 157,669,551,063.77/537,140.88
  6. Step 6: Final answer
    x = 293,534.82

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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.