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Finding the Fourth Proportional to 171,390.84, 257,083.50 and 46,731.84

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Solution

The fourth proportional to 171,390.84, 257,083.50 and 46,731.84 is: 70,097.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,390.84 : 257,083.50 = 46,731.84 : x
  2. Step 2: Convert to fraction form
    171,390.84/257,083.50 = 46,731.84/x
  3. Step 3: Cross multiply
    171,390.84x = 257,083.50 × 46,731.84
  4. Step 4: Simplify right side
    171,390.84x = 12,013,984,988.64
  5. Step 5: Solve for x
    x = 12,013,984,988.64/171,390.84
  6. Step 6: Final answer
    x = 70,097.01

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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.