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Finding the Fourth Proportional to 183,952.54, 253,855.40 and 107,476

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Solution

The fourth proportional to 183,952.54, 253,855.40 and 107,476 is: 148,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,952.54 : 253,855.40 = 107,476 : x
  2. Step 2: Convert to fraction form
    183,952.54/253,855.40 = 107,476/x
  3. Step 3: Cross multiply
    183,952.54x = 253,855.40 × 107,476
  4. Step 4: Simplify right side
    183,952.54x = 27,283,362,970.40
  5. Step 5: Solve for x
    x = 27,283,362,970.40/183,952.54
  6. Step 6: Final answer
    x = 148,317.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.