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Finding the Fourth Proportional to 145,965.80, 219,045.90 and 67,039.40

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Solution

The fourth proportional to 145,965.80, 219,045.90 and 67,039.40 is: 100,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,965.80 : 219,045.90 = 67,039.40 : x
  2. Step 2: Convert to fraction form
    145,965.80/219,045.90 = 67,039.40/x
  3. Step 3: Cross multiply
    145,965.80x = 219,045.90 × 67,039.40
  4. Step 4: Simplify right side
    145,965.80x = 14,684,705,708.46
  5. Step 5: Solve for x
    x = 14,684,705,708.46/145,965.80
  6. Step 6: Final answer
    x = 100,603.74

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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.