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Finding the Fourth Proportional to 140,161.50, 210,307.86 and 61,298.28

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Solution

The fourth proportional to 140,161.50, 210,307.86 and 61,298.28 is: 91,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,161.50 : 210,307.86 = 61,298.28 : x
  2. Step 2: Convert to fraction form
    140,161.50/210,307.86 = 61,298.28/x
  3. Step 3: Cross multiply
    140,161.50x = 210,307.86 × 61,298.28
  4. Step 4: Simplify right side
    140,161.50x = 12,891,510,088.48
  5. Step 5: Solve for x
    x = 12,891,510,088.48/140,161.50
  6. Step 6: Final answer
    x = 91,976.11

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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.