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Finding the Fourth Proportional to 140,597.56, 210,974.34 and 57,549.88

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Solution

The fourth proportional to 140,597.56, 210,974.34 and 57,549.88 is: 86,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,597.56 : 210,974.34 = 57,549.88 : x
  2. Step 2: Convert to fraction form
    140,597.56/210,974.34 = 57,549.88/x
  3. Step 3: Cross multiply
    140,597.56x = 210,974.34 × 57,549.88
  4. Step 4: Simplify right side
    140,597.56x = 12,141,547,950.08
  5. Step 5: Solve for x
    x = 12,141,547,950.08/140,597.56
  6. Step 6: Final answer
    x = 86,356.75

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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.