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Finding the Fourth Proportional to 152,682.51, 210,703.14 and 84,703.92

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Solution

The fourth proportional to 152,682.51, 210,703.14 and 84,703.92 is: 116,892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,682.51 : 210,703.14 = 84,703.92 : x
  2. Step 2: Convert to fraction form
    152,682.51/210,703.14 = 84,703.92/x
  3. Step 3: Cross multiply
    152,682.51x = 210,703.14 × 84,703.92
  4. Step 4: Simplify right side
    152,682.51x = 17,847,381,914.31
  5. Step 5: Solve for x
    x = 17,847,381,914.31/152,682.51
  6. Step 6: Final answer
    x = 116,892.12

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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.