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Finding the Fourth Proportional to 201,258.95, 277,980.93 and 146,724.75

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Solution

The fourth proportional to 201,258.95, 277,980.93 and 146,724.75 is: 202,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,258.95 : 277,980.93 = 146,724.75 : x
  2. Step 2: Convert to fraction form
    201,258.95/277,980.93 = 146,724.75/x
  3. Step 3: Cross multiply
    201,258.95x = 277,980.93 × 146,724.75
  4. Step 4: Simplify right side
    201,258.95x = 40,786,682,459.02
  5. Step 5: Solve for x
    x = 40,786,682,459.02/201,258.95
  6. Step 6: Final answer
    x = 202,657.74

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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.