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Finding the Fourth Proportional to 202,141.56, 278,950.47 and 111,495.59

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Solution

The fourth proportional to 202,141.56, 278,950.47 and 111,495.59 is: 153,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,141.56 : 278,950.47 = 111,495.59 : x
  2. Step 2: Convert to fraction form
    202,141.56/278,950.47 = 111,495.59/x
  3. Step 3: Cross multiply
    202,141.56x = 278,950.47 × 111,495.59
  4. Step 4: Simplify right side
    202,141.56x = 31,101,746,256.78
  5. Step 5: Solve for x
    x = 31,101,746,256.78/202,141.56
  6. Step 6: Final answer
    x = 153,861.21

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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.