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Finding the Fourth Proportional to 228,258.48, 314,890.46 and 147,712

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Solution

The fourth proportional to 228,258.48, 314,890.46 and 147,712 is: 203,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,258.48 : 314,890.46 = 147,712 : x
  2. Step 2: Convert to fraction form
    228,258.48/314,890.46 = 147,712/x
  3. Step 3: Cross multiply
    228,258.48x = 314,890.46 × 147,712
  4. Step 4: Simplify right side
    228,258.48x = 46,513,099,627.52
  5. Step 5: Solve for x
    x = 46,513,099,627.52/228,258.48
  6. Step 6: Final answer
    x = 203,773.81

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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.