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Finding the Fourth Proportional to 202,118.58, 278,935.92 and 111,474.18

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Solution

The fourth proportional to 202,118.58, 278,935.92 and 111,474.18 is: 153,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,118.58 : 278,935.92 = 111,474.18 : x
  2. Step 2: Convert to fraction form
    202,118.58/278,935.92 = 111,474.18/x
  3. Step 3: Cross multiply
    202,118.58x = 278,935.92 × 111,474.18
  4. Step 4: Simplify right side
    202,118.58x = 31,094,152,954.55
  5. Step 5: Solve for x
    x = 31,094,152,954.55/202,118.58
  6. Step 6: Final answer
    x = 153,841.14

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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.