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Finding the Fourth Proportional to 140,596.19, 210,894.29 and 61,711.10

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Solution

The fourth proportional to 140,596.19, 210,894.29 and 61,711.10 is: 92,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,596.19 : 210,894.29 = 61,711.10 : x
  2. Step 2: Convert to fraction form
    140,596.19/210,894.29 = 61,711.10/x
  3. Step 3: Cross multiply
    140,596.19x = 210,894.29 × 61,711.10
  4. Step 4: Simplify right side
    140,596.19x = 13,014,518,311.06
  5. Step 5: Solve for x
    x = 13,014,518,311.06/140,596.19
  6. Step 6: Final answer
    x = 92,566.65

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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.