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Finding the Fourth Proportional to 210,812.32, 316,234.92 and 61,054.84

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Solution

The fourth proportional to 210,812.32, 316,234.92 and 61,054.84 is: 91,587.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,812.32 : 316,234.92 = 61,054.84 : x
  2. Step 2: Convert to fraction form
    210,812.32/316,234.92 = 61,054.84/x
  3. Step 3: Cross multiply
    210,812.32x = 316,234.92 × 61,054.84
  4. Step 4: Simplify right side
    210,812.32x = 19,307,672,443.01
  5. Step 5: Solve for x
    x = 19,307,672,443.01/210,812.32
  6. Step 6: Final answer
    x = 91,587.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.