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Finding the Fourth Proportional to 452,194.60, 678,389.10 and 136,683.40

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Solution

The fourth proportional to 452,194.60, 678,389.10 and 136,683.40 is: 205,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,194.60 : 678,389.10 = 136,683.40 : x
  2. Step 2: Convert to fraction form
    452,194.60/678,389.10 = 136,683.40/x
  3. Step 3: Cross multiply
    452,194.60x = 678,389.10 × 136,683.40
  4. Step 4: Simplify right side
    452,194.60x = 92,724,528,710.94
  5. Step 5: Solve for x
    x = 92,724,528,710.94/452,194.60
  6. Step 6: Final answer
    x = 205,054.48

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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.