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Finding the Fourth Proportional to 152,694.61, 210,719.10 and 84,712.93

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Solution

The fourth proportional to 152,694.61, 210,719.10 and 84,712.93 is: 116,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,694.61 : 210,719.10 = 84,712.93 : x
  2. Step 2: Convert to fraction form
    152,694.61/210,719.10 = 84,712.93/x
  3. Step 3: Cross multiply
    152,694.61x = 210,719.10 × 84,712.93
  4. Step 4: Simplify right side
    152,694.61x = 17,850,632,367.96
  5. Step 5: Solve for x
    x = 17,850,632,367.96/152,694.61
  6. Step 6: Final answer
    x = 116,904.14

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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.