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Finding the Fourth Proportional to 212,742.70, 319,114.05 and 192,006.70

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Solution

The fourth proportional to 212,742.70, 319,114.05 and 192,006.70 is: 288,010.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,742.70 : 319,114.05 = 192,006.70 : x
  2. Step 2: Convert to fraction form
    212,742.70/319,114.05 = 192,006.70/x
  3. Step 3: Cross multiply
    212,742.70x = 319,114.05 × 192,006.70
  4. Step 4: Simplify right side
    212,742.70x = 61,272,035,664.14
  5. Step 5: Solve for x
    x = 61,272,035,664.14/212,742.70
  6. Step 6: Final answer
    x = 288,010.05

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1.5x scale

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.