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Finding the Fourth Proportional to 206,988.84, 310,700.40 and 183,447

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Solution

The fourth proportional to 206,988.84, 310,700.40 and 183,447 is: 275,362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,988.84 : 310,700.40 = 183,447 : x
  2. Step 2: Convert to fraction form
    206,988.84/310,700.40 = 183,447/x
  3. Step 3: Cross multiply
    206,988.84x = 310,700.40 × 183,447
  4. Step 4: Simplify right side
    206,988.84x = 56,997,056,278.80
  5. Step 5: Solve for x
    x = 56,997,056,278.80/206,988.84
  6. Step 6: Final answer
    x = 275,362.94

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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.