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Finding the Fourth Proportional to 152,774.14, 210,825.13 and 84,787.16

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Solution

The fourth proportional to 152,774.14, 210,825.13 and 84,787.16 is: 117,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,774.14 : 210,825.13 = 84,787.16 : x
  2. Step 2: Convert to fraction form
    152,774.14/210,825.13 = 84,787.16/x
  3. Step 3: Cross multiply
    152,774.14x = 210,825.13 × 84,787.16
  4. Step 4: Simplify right side
    152,774.14x = 17,875,264,029.33
  5. Step 5: Solve for x
    x = 17,875,264,029.33/152,774.14
  6. Step 6: Final answer
    x = 117,004.51

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1.5x scale

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.