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Finding the Fourth Proportional to 202,055.46, 278,838.48 and 111,415.04

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Solution

The fourth proportional to 202,055.46, 278,838.48 and 111,415.04 is: 153,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,055.46 : 278,838.48 = 111,415.04 : x
  2. Step 2: Convert to fraction form
    202,055.46/278,838.48 = 111,415.04/x
  3. Step 3: Cross multiply
    202,055.46x = 278,838.48 × 111,415.04
  4. Step 4: Simplify right side
    202,055.46x = 31,066,800,402.74
  5. Step 5: Solve for x
    x = 31,066,800,402.74/202,055.46
  6. Step 6: Final answer
    x = 153,753.83

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