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Finding the Fourth Proportional to 152,402.22, 210,314.79 and 84,419.16

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Solution

The fourth proportional to 152,402.22, 210,314.79 and 84,419.16 is: 116,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,402.22 : 210,314.79 = 84,419.16 : x
  2. Step 2: Convert to fraction form
    152,402.22/210,314.79 = 84,419.16/x
  3. Step 3: Cross multiply
    152,402.22x = 210,314.79 × 84,419.16
  4. Step 4: Simplify right side
    152,402.22x = 17,754,597,907.38
  5. Step 5: Solve for x
    x = 17,754,597,907.38/152,402.22
  6. Step 6: Final answer
    x = 116,498.29

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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.