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Finding the Fourth Proportional to 210,823.72, 316,266.85 and 61,045.32

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Solution

The fourth proportional to 210,823.72, 316,266.85 and 61,045.32 is: 91,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,823.72 : 316,266.85 = 61,045.32 : x
  2. Step 2: Convert to fraction form
    210,823.72/316,266.85 = 61,045.32/x
  3. Step 3: Cross multiply
    210,823.72x = 316,266.85 × 61,045.32
  4. Step 4: Simplify right side
    210,823.72x = 19,306,611,608.14
  5. Step 5: Solve for x
    x = 19,306,611,608.14/210,823.72
  6. Step 6: Final answer
    x = 91,577.04

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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.