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Finding the Fourth Proportional to 227,488.68, 314,035.02 and 146,955.42

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Solution

The fourth proportional to 227,488.68, 314,035.02 and 146,955.42 is: 202,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,488.68 : 314,035.02 = 146,955.42 : x
  2. Step 2: Convert to fraction form
    227,488.68/314,035.02 = 146,955.42/x
  3. Step 3: Cross multiply
    227,488.68x = 314,035.02 × 146,955.42
  4. Step 4: Simplify right side
    227,488.68x = 46,149,148,258.81
  5. Step 5: Solve for x
    x = 46,149,148,258.81/227,488.68
  6. Step 6: Final answer
    x = 202,863.49

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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.