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Finding the Fourth Proportional to 154,952.40, 232,428.60 and 107,713.20

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Solution

The fourth proportional to 154,952.40, 232,428.60 and 107,713.20 is: 161,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,952.40 : 232,428.60 = 107,713.20 : x
  2. Step 2: Convert to fraction form
    154,952.40/232,428.60 = 107,713.20/x
  3. Step 3: Cross multiply
    154,952.40x = 232,428.60 × 107,713.20
  4. Step 4: Simplify right side
    154,952.40x = 25,035,628,277.52
  5. Step 5: Solve for x
    x = 25,035,628,277.52/154,952.40
  6. Step 6: Final answer
    x = 161,569.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.