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Finding the Fourth Proportional to 228,120, 314,943.84 and 148,770.24

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Solution

The fourth proportional to 228,120, 314,943.84 and 148,770.24 is: 205,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,120 : 314,943.84 = 148,770.24 : x
  2. Step 2: Convert to fraction form
    228,120/314,943.84 = 148,770.24/x
  3. Step 3: Cross multiply
    228,120x = 314,943.84 × 148,770.24
  4. Step 4: Simplify right side
    228,120x = 46,854,270,663.32
  5. Step 5: Solve for x
    x = 46,854,270,663.32/228,120
  6. Step 6: Final answer
    x = 205,393.09

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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.