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Finding the Fourth Proportional to 202,102.48, 278,897.74 and 111,466.84

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Solution

The fourth proportional to 202,102.48, 278,897.74 and 111,466.84 is: 153,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,102.48 : 278,897.74 = 111,466.84 : x
  2. Step 2: Convert to fraction form
    202,102.48/278,897.74 = 111,466.84/x
  3. Step 3: Cross multiply
    202,102.48x = 278,897.74 × 111,466.84
  4. Step 4: Simplify right side
    202,102.48x = 31,087,849,760.94
  5. Step 5: Solve for x
    x = 31,087,849,760.94/202,102.48
  6. Step 6: Final answer
    x = 153,822.21

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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.