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Finding the Fourth Proportional to 124,393.84, 186,457.70 and 70,970.70

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Solution

The fourth proportional to 124,393.84, 186,457.70 and 70,970.70 is: 106,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,393.84 : 186,457.70 = 70,970.70 : x
  2. Step 2: Convert to fraction form
    124,393.84/186,457.70 = 70,970.70/x
  3. Step 3: Cross multiply
    124,393.84x = 186,457.70 × 70,970.70
  4. Step 4: Simplify right side
    124,393.84x = 13,233,033,489.39
  5. Step 5: Solve for x
    x = 13,233,033,489.39/124,393.84
  6. Step 6: Final answer
    x = 106,380.13

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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.