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Finding the Fourth Proportional to 537,176.97, 805,774.73 and 182,200.14

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Solution

The fourth proportional to 537,176.97, 805,774.73 and 182,200.14 is: 273,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,176.97 : 805,774.73 = 182,200.14 : x
  2. Step 2: Convert to fraction form
    537,176.97/805,774.73 = 182,200.14/x
  3. Step 3: Cross multiply
    537,176.97x = 805,774.73 × 182,200.14
  4. Step 4: Simplify right side
    537,176.97x = 146,812,267,703.46
  5. Step 5: Solve for x
    x = 146,812,267,703.46/537,176.97
  6. Step 6: Final answer
    x = 273,303.35

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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.