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Finding the Fourth Proportional to 207,830.89, 286,806.47 and 112,337.60

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Solution

The fourth proportional to 207,830.89, 286,806.47 and 112,337.60 is: 155,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,830.89 : 286,806.47 = 112,337.60 : x
  2. Step 2: Convert to fraction form
    207,830.89/286,806.47 = 112,337.60/x
  3. Step 3: Cross multiply
    207,830.89x = 286,806.47 × 112,337.60
  4. Step 4: Simplify right side
    207,830.89x = 32,219,148,508.55
  5. Step 5: Solve for x
    x = 32,219,148,508.55/207,830.89
  6. Step 6: Final answer
    x = 155,025.79

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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.