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Finding the Fourth Proportional to 210,895.50, 291,034.98 and 114,099.05

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Solution

The fourth proportional to 210,895.50, 291,034.98 and 114,099.05 is: 157,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,895.50 : 291,034.98 = 114,099.05 : x
  2. Step 2: Convert to fraction form
    210,895.50/291,034.98 = 114,099.05/x
  3. Step 3: Cross multiply
    210,895.50x = 291,034.98 × 114,099.05
  4. Step 4: Simplify right side
    210,895.50x = 33,206,814,146.19
  5. Step 5: Solve for x
    x = 33,206,814,146.19/210,895.50
  6. Step 6: Final answer
    x = 157,456.25

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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.