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Finding the Fourth Proportional to 220,943.40, 304,901.74 and 120,341.40

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Solution

The fourth proportional to 220,943.40, 304,901.74 and 120,341.40 is: 166,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,943.40 : 304,901.74 = 120,341.40 : x
  2. Step 2: Convert to fraction form
    220,943.40/304,901.74 = 120,341.40/x
  3. Step 3: Cross multiply
    220,943.40x = 304,901.74 × 120,341.40
  4. Step 4: Simplify right side
    220,943.40x = 36,692,302,254.04
  5. Step 5: Solve for x
    x = 36,692,302,254.04/220,943.40
  6. Step 6: Final answer
    x = 166,071.05

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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.