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Finding the Fourth Proportional to 201,827, 278,529.90 and 112,403

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Solution

The fourth proportional to 201,827, 278,529.90 and 112,403 is: 155,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,827 : 278,529.90 = 112,403 : x
  2. Step 2: Convert to fraction form
    201,827/278,529.90 = 112,403/x
  3. Step 3: Cross multiply
    201,827x = 278,529.90 × 112,403
  4. Step 4: Simplify right side
    201,827x = 31,307,596,349.70
  5. Step 5: Solve for x
    x = 31,307,596,349.70/201,827
  6. Step 6: Final answer
    x = 155,120.95

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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.