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Finding the Fourth Proportional to 140,597.19, 210,895.79 and 61,712.10

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Solution

The fourth proportional to 140,597.19, 210,895.79 and 61,712.10 is: 92,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,597.19 : 210,895.79 = 61,712.10 : x
  2. Step 2: Convert to fraction form
    140,597.19/210,895.79 = 61,712.10/x
  3. Step 3: Cross multiply
    140,597.19x = 210,895.79 × 61,712.10
  4. Step 4: Simplify right side
    140,597.19x = 13,014,822,082.06
  5. Step 5: Solve for x
    x = 13,014,822,082.06/140,597.19
  6. Step 6: Final answer
    x = 92,568.15

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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.