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Finding the Fourth Proportional to 316,185.60, 474,303.36 and 105,824.40

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Solution

The fourth proportional to 316,185.60, 474,303.36 and 105,824.40 is: 158,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,185.60 : 474,303.36 = 105,824.40 : x
  2. Step 2: Convert to fraction form
    316,185.60/474,303.36 = 105,824.40/x
  3. Step 3: Cross multiply
    316,185.60x = 474,303.36 × 105,824.40
  4. Step 4: Simplify right side
    316,185.60x = 50,192,868,489.98
  5. Step 5: Solve for x
    x = 50,192,868,489.98/316,185.60
  6. Step 6: Final answer
    x = 158,744.95

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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.