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Finding the Fourth Proportional to 210,092.70, 289,917.27 and 114,598.62

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Solution

The fourth proportional to 210,092.70, 289,917.27 and 114,598.62 is: 158,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,092.70 : 289,917.27 = 114,598.62 : x
  2. Step 2: Convert to fraction form
    210,092.70/289,917.27 = 114,598.62/x
  3. Step 3: Cross multiply
    210,092.70x = 289,917.27 × 114,598.62
  4. Step 4: Simplify right side
    210,092.70x = 33,224,119,056.17
  5. Step 5: Solve for x
    x = 33,224,119,056.17/210,092.70
  6. Step 6: Final answer
    x = 158,140.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.