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Finding the Fourth Proportional to 195,582, 293,373 and 70,923.12

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Solution

The fourth proportional to 195,582, 293,373 and 70,923.12 is: 106,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,582 : 293,373 = 70,923.12 : x
  2. Step 2: Convert to fraction form
    195,582/293,373 = 70,923.12/x
  3. Step 3: Cross multiply
    195,582x = 293,373 × 70,923.12
  4. Step 4: Simplify right side
    195,582x = 20,806,928,483.76
  5. Step 5: Solve for x
    x = 20,806,928,483.76/195,582
  6. Step 6: Final answer
    x = 106,384.68

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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.