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Finding the Fourth Proportional to 152,203.32, 210,035.16 and 84,219.12

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Solution

The fourth proportional to 152,203.32, 210,035.16 and 84,219.12 is: 116,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,203.32 : 210,035.16 = 84,219.12 : x
  2. Step 2: Convert to fraction form
    152,203.32/210,035.16 = 84,219.12/x
  3. Step 3: Cross multiply
    152,203.32x = 210,035.16 × 84,219.12
  4. Step 4: Simplify right side
    152,203.32x = 17,688,976,344.26
  5. Step 5: Solve for x
    x = 17,688,976,344.26/152,203.32
  6. Step 6: Final answer
    x = 116,219.39

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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.