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Finding the Fourth Proportional to 152,797.36, 210,856.24 and 84,814.12

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Solution

The fourth proportional to 152,797.36, 210,856.24 and 84,814.12 is: 117,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,797.36 : 210,856.24 = 84,814.12 : x
  2. Step 2: Convert to fraction form
    152,797.36/210,856.24 = 84,814.12/x
  3. Step 3: Cross multiply
    152,797.36x = 210,856.24 × 84,814.12
  4. Step 4: Simplify right side
    152,797.36x = 17,883,586,442.11
  5. Step 5: Solve for x
    x = 17,883,586,442.11/152,797.36
  6. Step 6: Final answer
    x = 117,041.20

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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.