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Finding the Fourth Proportional to 171,363.76, 257,045.64 and 46,723.12

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Solution

The fourth proportional to 171,363.76, 257,045.64 and 46,723.12 is: 70,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,363.76 : 257,045.64 = 46,723.12 : x
  2. Step 2: Convert to fraction form
    171,363.76/257,045.64 = 46,723.12/x
  3. Step 3: Cross multiply
    171,363.76x = 257,045.64 × 46,723.12
  4. Step 4: Simplify right side
    171,363.76x = 12,009,974,283.20
  5. Step 5: Solve for x
    x = 12,009,974,283.20/171,363.76
  6. Step 6: Final answer
    x = 70,084.68

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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.