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Finding the Fourth Proportional to 152,774.42, 210,825.52 and 84,787.44

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Solution

The fourth proportional to 152,774.42, 210,825.52 and 84,787.44 is: 117,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,774.42 : 210,825.52 = 84,787.44 : x
  2. Step 2: Convert to fraction form
    152,774.42/210,825.52 = 84,787.44/x
  3. Step 3: Cross multiply
    152,774.42x = 210,825.52 × 84,787.44
  4. Step 4: Simplify right side
    152,774.42x = 17,875,356,127.47
  5. Step 5: Solve for x
    x = 17,875,356,127.47/152,774.42
  6. Step 6: Final answer
    x = 117,004.91

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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.