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Finding the Fourth Proportional to 184,032, 253,905.84 and 112,376.16

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Solution

The fourth proportional to 184,032, 253,905.84 and 112,376.16 is: 155,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,032 : 253,905.84 = 112,376.16 : x
  2. Step 2: Convert to fraction form
    184,032/253,905.84 = 112,376.16/x
  3. Step 3: Cross multiply
    184,032x = 253,905.84 × 112,376.16
  4. Step 4: Simplify right side
    184,032x = 28,532,963,300.77
  5. Step 5: Solve for x
    x = 28,532,963,300.77/184,032
  6. Step 6: Final answer
    x = 155,043.49

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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.