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Finding the Fourth Proportional to 228,123.07, 314,661.61 and 146,321.84

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Solution

The fourth proportional to 228,123.07, 314,661.61 and 146,321.84 is: 201,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,123.07 : 314,661.61 = 146,321.84 : x
  2. Step 2: Convert to fraction form
    228,123.07/314,661.61 = 146,321.84/x
  3. Step 3: Cross multiply
    228,123.07x = 314,661.61 × 146,321.84
  4. Step 4: Simplify right side
    228,123.07x = 46,041,866,722.12
  5. Step 5: Solve for x
    x = 46,041,866,722.12/228,123.07
  6. Step 6: Final answer
    x = 201,829.07

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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.