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Finding the Fourth Proportional to 144,602.30, 216,822.98 and 44,734.70

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Solution

The fourth proportional to 144,602.30, 216,822.98 and 44,734.70 is: 67,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,602.30 : 216,822.98 = 44,734.70 : x
  2. Step 2: Convert to fraction form
    144,602.30/216,822.98 = 44,734.70/x
  3. Step 3: Cross multiply
    144,602.30x = 216,822.98 × 44,734.70
  4. Step 4: Simplify right side
    144,602.30x = 9,699,510,963.41
  5. Step 5: Solve for x
    x = 9,699,510,963.41/144,602.30
  6. Step 6: Final answer
    x = 67,077.16

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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.