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Finding the Fourth Proportional to 153,204.71, 230,022.35 and 78,378.53

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Solution

The fourth proportional to 153,204.71, 230,022.35 and 78,378.53 is: 117,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,204.71 : 230,022.35 = 78,378.53 : x
  2. Step 2: Convert to fraction form
    153,204.71/230,022.35 = 78,378.53/x
  3. Step 3: Cross multiply
    153,204.71x = 230,022.35 × 78,378.53
  4. Step 4: Simplify right side
    153,204.71x = 18,028,812,118.14
  5. Step 5: Solve for x
    x = 18,028,812,118.14/153,204.71
  6. Step 6: Final answer
    x = 117,677.93

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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.