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Finding the Fourth Proportional to 152,286, 210,152.04 and 84,301.48

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Solution

The fourth proportional to 152,286, 210,152.04 and 84,301.48 is: 116,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,286 : 210,152.04 = 84,301.48 : x
  2. Step 2: Convert to fraction form
    152,286/210,152.04 = 84,301.48/x
  3. Step 3: Cross multiply
    152,286x = 210,152.04 × 84,301.48
  4. Step 4: Simplify right side
    152,286x = 17,716,127,997.02
  5. Step 5: Solve for x
    x = 17,716,127,997.02/152,286
  6. Step 6: Final answer
    x = 116,334.58

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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.